Free Printable GU1-6A 2024-2025 Review (Poly, Proofs, Cong, Sim, RightTri, Cir)

1.

[GU1-6A 2024-2025 Review (U1 Poly 11-19 | U2 Parallel Line Proofs 20-62 | U3 Congruence 1-10 and 63-82 | U4 Investigating Similarity 83-104 Dilations ... 105-150 Ratios, Proportions, Similar Figures, Similarity Theorems ... 151-177 Triangle Proportionality, Similarity Proofs ... 178 - 220 U4 Investigating Similarity Test Review U4TR | U5 Right Triangle Trigonometry ... 221-240 Intro to Trig Ratios & Missing Sides ... 241-260 Finding Missing Sides and Angles with Trig Ratios 261-270 Complementary Angles ... 271-310 U5 Right Triangle Trigonometry Quest Review U5TR | U6 Circles 311-339 Circle Language ... 340-359 Central and Inscribed Angles ... 360 - 379 Angles Inside and Outside Circle ... 380-399 Triangles and Quadrilaterals Inscribed in Circles + Tangents ... 400-419 Arc Length and Sector Area ... 420-439 Equation of A Circle ... 440-500 U6A Circles Test Review U6ATR]

[BEGIN U3: Exploring Congruence (Transformations)]

What is the rule for the following reflection?

a)

Reflection across

y = −1

b)

Reflection across

y = 1

c)

Reflection across

x = −1

d)

Reflection across

x = 1

2.

Triangle EFG has vertices E(3,2), F(2,5), and G(-1,2). If it is translated by <-1,-4>, then E' is ...

a)

(-4,-6)

b)

(2,2)

c)

(-2,2)

d)

(2,-2)

3.

Triangle ABC will be translated 3 units right and 6 units up. What will be the coordinates of the image of point A?

a)

A'(-4,7)

b)

A'(-4,-7)

c)

A'(4,7)

d)

A'(4,-7)

4.

What is the angle of the clockwise rotation?

a)

90°

b)

180°

c)

270°

d)

0°

5.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter-clockwise rotation

c)

Reflection across the x-axis

d)

Translation (x, y-2)

6.

Identify the transformation from ABC to A'B'C'.

a)

T(x+8, y+4)

b)

T(x-8, y-4)

c)

T(x+4, y+8)

d)

T(x-4, y-8)

7.

Describe the sequence of transformations shown (from A to A' to A").

a)

Reflect across the x-axis, then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin, then reflect across the line y = x.

c)

Reflect across the x-axis, then reflect across the y-axis.

d)

Translate up 8 units, then rotate 90 degrees counterclockwise about the origin.

8.

Describe the sequence of transformations that map ABC to A'B'C' to A"B"C".

a)

translate 5 units up and 1 left, then reflect over the y-axis

b)

translate 5 units down and 1 unit left, then reflect over the y-axis

c)

reflect over the line y = x, then translate left 8 units

d)

reflect over the x-axis, then rotate 90 degrees clockwise

9.

Choose the sequence of transformations that map ABC to A'B'C' to A''B''C''.

a)

Translate right 1 unit, down 4 units, and then reflect over the y-axis

b)

Translate right 6 units, and then reflect over the x-axis

c)

Reflect over the line y = x, and then translate up 4 units, then right 2 units

d)

Reflect over the y-axis, then left 1 unit and up 1 unit

10.

[END U3: Exploring Congruence (Transformations)] Which best describes the sequence of transformations from ABC to A'B'C' to A''B''C''?

a)

Rotate triangle ABC 90° clockwise, then reflect across the y-axis

b)

Reflect triangle ABC over the y-axis, then rotate 90° clockwise about the origin

c)

Reflect triangle ABC over y-axis, then rotate 90° counterclockwise about the origin

d)

Rotate triangle ABC 90° counter-clockwise, then reflect across the y-axis

11.

[BEGIN U1: Exploring Polynomial Expressions Through Geometry] Classify the following polynomial

a)

quartic polynomial

b)

quadratic polynomial

c)

quartic trinomial

d)

quadratic trinomial

12.

Classify the following polynomial

a)

quadratic trinomial

b)

cubic binomial

13.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

14.

(3x + 4y - 3z) - (2x - 6y + 7z)

a)

x + 10y - 10z

b)

-x +10y - 10z

c)

x -10y - 10z

d)

-x -10y - 10z

15.

Multiply:
(r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

16.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

17.

Find the area of the given rectangle.

a)

$42x^3+28x^2$

b)

$42x^2+28x^{ }$

c)

$42x^3+4x^2$

d)

$13x^3+11x^2$

18.

Find the area of the given rectangle.

a)

$18x^2-48x+6$

b)

$18x^3-48x+6x$

c)

$18x^3-48x^2+6x$

d)

$9x^3-14x^2+7x$

19.

[END U1: Exploring Polynomial Expressions Through Geometry] The following image is a square. Find the PERIMETER AND AREA of the polygon.

a)

PERIMETER: $16x^3$ AREA: $16x^6$

b)

PERIMETER: $16x^6$ AREA: $16x^3$

c)

PERIMETER: $8x^3$ AREA: $8x^6$

d)

PERIMETER: $8x^6$ AREA: $8x^3$

20.

[BEGIN U2: Geometric Foundations, Constructions, and Proofs] Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

21.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

22.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

23.

Name that figure!

a)

Point

b)

Line

c)

Line segment

d)

Ray

24.

What does this symbol mean?

a)

less than

b)

greater than

c)

congruent

d)

similar

25.

In angle ABC, B is the...

a)

rays

b)

plane

c)

compass

d)

vertex

26.

In angle ABC, BA and BC are...

a)

rays

b)

plane

c)

compass

d)

vertex

27.

Line m and Line l are...

a)

parallel

b)

perpendicular

c)

plane

d)

paired

28.

What is the relationship of the angle pair?

a)

Acute

b)

Supplementary

c)

Vertical

d)

Complementary

29.

What is the relationship of the angle pair?

a)

Acute

b)

Supplementary

c)

Vertical

d)

Complementary

30.

What is the relationship of the angle pair?

a)

Linear

b)

Supplementary

c)

Vertical

d)

Complementary

31.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

32.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

33.

Name that figure!

a)

acute angle

b)

right angle

c)

obtuse angle

d)

straight angle

34.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

35.

Find AC

a)

7

b)

8

c)

22

d)

23

36.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

37.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

38.

Find the value of ∠A.

a)

39 degrees

b)

49 degrees

c)

51 degrees

d)

59 degrees

39.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

40.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
37

b)

Alternate Interior
143

c)

Corresponding
143

d)

Corresponding
37

41.

If lines are parallel, then alternate interior angles are _____________

a)

congruent

b)

parallel

c)

complementary

d)

supplementary

42.

What word describes line Z?

a)

Transversal

b)

Parallel

c)

Corresponding

d)

Same side interior

43.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

44.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

45.

Find L

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

46.

State the angle relationship and find the measure of angle 1

a)

Alternate Interior
49

b)

Same Side Interior
131

c)

Same Side Interior
49

d)

Alternate Interior
131

47.

State the angle relationship and find the measure of angle 1

a)

Corresponding
110

b)

Alternate Exterior
110

c)

Corresponding
70

d)

Alternate Exterior
70

48.

Supplementary Angles measure _____ degrees.

a)

180

b)

55

c)

100

d)

90

49.

Identify the type of angle shown.

a)

Complementary

b)

Supplementary

50.

Find the value of x.

a)

38°

b)

52°

c)

142°

d)

152°

51.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

52.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

53.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

54.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

55.

7) Given the following two parallel lines that have been cut by a transversal.

True or False, $\angle6$ and $\angle4$ are vertical angles?

a)

True

b)

False

56.

8) Given the following two parallel lines that have been cut by a transversal.

$\angle1$ and which angle make up Alternate Interior angles?

a)

\angle2

b)

$\angle6$

c)

$\angle5$

d)

$\angle3$

57.

9) Given the following two parallel lines that have been cut by a transversal.

Choose all the options that represent corresponding angles.

a)

\angle5

and

\angle3

b)

$\angle3$ and $\angle8$

c)

$\angle2$ and $\angle7$

d)

$\angle6$ and $\angle4$

58.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

59.

Solve for x

a)

49

b)

58

c)

70

d)

94

60.

Solve for x

a)

65

b)

74

c)

37

d)

64

61.

Solve for x

a)

70

b)

23

c)

120

d)

130

62.

[END U2: Geometric Foundations, Constructions, and Proofs] Solve for x

a)

105

b)

78

c)

110

d)

25

63.

[RESUME U3: Exploring Congruence (SEE Q1-Q10)] What does SAS stand for?

a)

Side-Angle-Side

b)

Super-Awesome-Side

c)

Side-Angle-Supersized

d)

Sensationally Awesome Superman

64.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

65.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

66.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

67.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

68.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

69.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

70.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

71.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

72.

What is always the 1st statement in reason column of a proof?

a)

Prove

b)

Given

c)

Reason

d)

Statement

73.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

They're the same side!!!!!!

74.

What additional information is required to prove the 2 triangles are congruent by ASA

a)

A)

b)

B)

c)

C)

d)

D)

75.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

76.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by HL

77.

Identify the missing statement or reason

a)

Reflexive Property

b)

Definition of Midpoint

c)

Given

d)

Vertical Angles Theorem

78.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D

81.

Which statement is true for

\Delta ABC\cong\Delta DEF

a)

$\angle A\cong\angle B$

b)

$\angle A\cong\angle F$

c)

$\angle A\cong\angle D$

d)

$\angle A\cong\angle E$

82.

[END U3: Exploring Congruence (SEE Q1-Q10)] Which statement is true for

$\Delta ABC\cong\Delta DEF$

a)

$\overline{BC}\cong\overline{DE}$

b)

$\overline{BC}\cong\overline{EF}$

c)

$\overline{BC}\cong\overline{DF}$

83.

[BEGIN U4: Investigating Similarity] An object before transformation is called the _______.

a)

image

b)

pre-image

c)

post-image

d)

answer

84.

An object after transformation is called the _______.

a)

image

b)

pre-image

c)

post-image

d)

answer

85.

A transformation that does not change object side lengths is _______.

a)

rigid

b)

solid

c)

excellent

d)

efficient

86.

The shrinking or enlargement of an object is called a _______.

a)

SuperSize Me

b)

"Mario Mushroom"

c)

dilation

d)

reflection

87.

A dilation's _________ indicates how much the figure will enlarge or shrink.

a)

player rating

b)

square root

c)

scale factor

d)

translator

88.

Dilate the figure by a scale factor of 3 (with the origin as the center of dilation). What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

89.

Choose the correct scale factor (from NDMP to N'D'M'P'):

a)

2

b)

3

c)

1/3

d)

1/2

90.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

91.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

92.

Dilate point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

93.

Dilate point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

94.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

a)

(2,4.5)

b)

(-8,-18)

c)

(8,18)

d)

(9,4)

95.

Which of the following are dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

96.

Find the measure of x:

a)

6

b)

24

c)

33

d)

36

97.

Dilate point C by a scale factor of 1/2.

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

98.

Dilate point C by a scale factor of 4.

a)

(1.5, -0.75)

b)

(0, 12)

c)

(-8, -20)

d)

(24, -12)

99.

Dilate point B by a scale factor of 1/3.

a)

(0, 1)

b)

(-1, 0)

c)

(2, -1)

d)

(0, 9)

100.

Find the scale factor for the dilation (from EFGHI to E'F'G'H'I').

a)

3

b)

1/3

c)

1/2

d)

2

101.

What is the scale factor of this dilation?

a)

3

b)

2

c)

5

d)

2.5

102.

Find the scale factor for the dilation (from UDAJ to U'D'A'J').

a)

2.5

b)

1.5

c)

3.5

d)

4

103.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

104.

[END U4L1 (Dilations)] The point B (2, 1) was dilated to become point B' (6, 3). What was the scale factor?

a)

1/3

b)

2

c)

3

d)

1/2

105.

[BEGIN U4L3 (Similar Figures + Similarity Transformations)] A comparison of related quantities (like a:b or "a to b" or 1/2) is called a _______.

a)

mystery

b)

ratio

c)

pre-image

d)

IDK

106.

A proportion is an ___________ that compares two ratios.

a)

equation

b)

congruence statement

c)

proof

d)

definition

107.

We solve proportions by using the ____________.

a)

cross-product property

b)

property of equality ("whatever I do to one side of the equation, I must do to the other side of the equation")

c)

Pythagorean Theorem

d)

triangle congruence theorem

108.

Polygons that have congruent corresponding angles and proportional corresponding sides are _______.

a)

similar

b)

congruent

c)

the same

d)

equal

109.

Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.

a)

7:5

b)

5:7

c)

3:5

d)

5:3

110.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

111.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?

a)

$12

b)

$1.50

c)

$3

d)

$1

112.

What is the ratio of triangles to squares?

a)

2:6

b)

5:6

c)

3:4

d)

4:3

113.

If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?

a)

1 to 2

b)

1 to 3

c)

2 to 1

d)

3 to 1

114.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

115.

Solve the proportion.

a)

1

b)

3

c)

6

d)

5

116.

Solve.

a)

60

b)

24

c)

16

d)

12

117.

You travel 150 miles on 5 gallons. How far did you travel per gallon?

a)

15 miles

b)

30 miles

c)

3 miles

d)

25 miles

118.

You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?

a)

$25

b)

$35

c)

$5

d)

$10

119.

Solve the proportion.

a)

n=6

b)

n=24

c)

n=7

d)

n=8

120.

Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

121.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

122.

If the Rangers won 100 games and lost 60, what is the simplified ratio of wins to losses?

a)

10 to 6

b)

5 to 3

c)

6 to 10

d)

3 to 5

123.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

124.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

125.

The pair of figures is similar. Find the missing side.

a)

x = 1

b)

x = 3

c)

x = 9

d)

x = 5

126.

Find side length X.

a)

30

b)

25

c)

15

d)

40

127.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

128.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

129.

Find the missing side length.

a)

2

b)

4

c)

3

d)

6

130.

Find the missing side length.

a)

9

b)

8

c)

6

d)

12

131.

Find the missing side length.

a)

16

b)

12

c)

35

d)

15

132.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

133.

The triangles are similar. Solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

134.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

135.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

136.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

137.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

138.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

139.

Are these two triangles similar? Which similarity criterion do you use to prove it?

a)

Yes, AA

b)

Yes, SAS

c)

Yes, SSS

d)

Not Similar

140.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

141.

Which is not a similar triangle theorem?

a)

ASA∼

b)

SAS∼

c)

SSS∼

d)

AA∼

142.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

SSS

c)

ASA

d)

HL

143.

Determine whether the triangles are similar(name the postulate or theorem you used).

a)

SSS similar

b)

AA similar

c)

SAS similar

144.

Complete the similarity statement: △ACB ~ _______

a)

△HFG

b)

△HGF

c)

△FHG

d)

△FGH

145.

Are the triangles similar?

a)

Yes, by AA

b)

Not similar

c)

Yes, by SAS

d)

Yes, by SSS

146.

Are the triangles similar? If so, how?

a)

Similar by AA

b)

Similar by SAS

c)

Similar by SSS

d)

Not similar

147.

Give the reason for similarity

a)

AA

b)

SAS

c)

SSS

d)

Not similar

148.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

149.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

150.

[END U3L3: Similar Figures + Similarity Theorems] Complete the similarity statement: △ADB ~ _______

a)

△ACE

b)

△AEC

c)

△EAC

d)

△ECA

151.

[BEGIN U4L4: Triangle Proportionality, Similarity Proofs] The TRIANGLE PROPORTIONALITY THEOREM says ___________ (check all that apply).

a)

All triangles have 3 angles.

b)

If a line segment divides two sides of a triangle proportionally, then it is parallel to the third side.

c)

If a line segment is parallel to one side of a triangle and intersects the other sides, then it divides those intersected sides proportionally.

d)

All triangles have 3 angles whose sum is 180 degrees.

152.

PROPORTIONAL PARTS AND PARALLEL LINES: If 3 or more parallel lines are intersected by two ________, then the parallel lines divide the ________ proportionally.

a)

perpendicular bisectors

b)

angles

c)

midpoints

d)

transversals

153.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

154.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

155.

Which proportion could be used to prove that $HJ\parallel KL$ ?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

156.

Find the missing length.

a)

14

b)

20

c)

16

d)

10

157.

Find the missing length.

a)

5

b)

9

c)

7

d)

8

158.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

159.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

160.

Find the length of the unknown segment.

a)

6

b)

3

c)

7

d)

1

161.

Find the missing length.

a)

8

b)

23

c)

11

d)

16

162.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

163.

What is the height of the flag pole?

Show your work.

a)

205

b)

105

c)

230

d)

135

164.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

165.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

166.

If the triangles are similar, state how.

a)

SSS

b)

SAS

c)

AA

d)

Not similar.

167.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

168.

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

169.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

170.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

171.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

172.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

173.

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

174.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

175.

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

None, the triangles are not similar

176.

Are the triangles similar? If so, what similarity test is used?

a)

Similar. SAS

b)

Similar. AA

c)

Similar. SSS

d)

Not Similar

177.

[END U4L4: Triangle Proportionality, Similarity Proofs] Give the reason for similarity.

a)

AA

b)

SAS

c)

SSS

d)

AAS

178.

[BEGIN U4 Investigating Similarity Test Review U4TR][LANGUAGE] What word was used a lot in this unit?

2 lines

179.

[LANGUAGE] Which of the following is NOT a rigid transformation?

a)

dilation

b)

translation

c)

rotation

d)

reflection

180.

[LANGUAGE] Which statement describes a dilation?

a)

ALWAYS makes a figure larger

b)

preserves side lengths and angles

c)

changes angles and side lengths

d)

preserves angles, but changes side lengths

181.

[LANGUAGE] What statement(s) best describe the difference between similar and congruent?

a)

They are the same!

b)

Similar means "alike in some ways", and congruent means "exactly the same"

c)

Similar is harder to pronounce, and congruent is harder to spell

d)

The similar operator is ~ ... the congruent operator is ≅

182.

[LANGUAGE] A dilation's scale factor is used to perform what arithmetic operation?

a)

addition

b)

multiplication

c)

subtraction

d)

square roots

183.

[LANGUAGE] A (a) is an explanation of why something is true.

184.

[BEGIN U4: Investigating Similarity] An object before transformation is called the _______.

a)

image

b)

pre-image

c)

post-image

d)

answer

185.

An object after transformation is called the _______.

a)

image

b)

pre-image

c)

post-image

d)

answer

186.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

187.

Dilate point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

188.

Dilate point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

189.

Which of the following are dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

190.

[END U4L1 (Dilations)] The point B (2, 1) was dilated to become point B' (6, 3). What was the scale factor?

a)

1/3

b)

2

c)

3

d)

1/2

191.

[BEGIN U4L3 (Similar Figures + Similarity Transformations)] A comparison of related quantities (like a:b or "a to b" or 1/2) is called a _______.

a)

mystery

b)

ratio

c)

pre-image

d)

IDK

192.

A proportion is an ___________ that compares two ratios.

a)

equation

b)

congruence statement

c)

proof

d)

definition

193.

We solve proportions by using the ____________.

a)

cross-product property

b)

property of equality ("whatever I do to one side of the equation, I must do to the other side of the equation")

c)

Pythagorean Theorem

d)

triangle congruence theorem

194.

Polygons that have congruent corresponding angles and proportional corresponding sides are _______.

a)

similar

b)

congruent

c)

the same

d)

equal

195.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

196.

Find side length X.

a)

30

b)

25

c)

15

d)

40

197.

The triangles are similar. Solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

198.

Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

199.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

200.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

201.

Determine whether the triangles are similar(name the postulate or theorem you used).

a)

SSS similar

b)

AA similar

c)

SAS similar

202.

Complete the similarity statement: △ACB ~ _______

a)

△HFG

b)

△HGF

c)

△FHG

d)

△FGH

203.

Are the triangles similar?

a)

Yes, by AA

b)

Not similar

c)

Yes, by SAS

d)

Yes, by SSS

204.

Are the triangles similar? If so, how?

a)

Similar by AA

b)

Similar by SAS

c)

Similar by SSS

d)

Not similar

205.

[END U3L3: Similar Figures + Similarity Theorems] Complete the similarity statement: △ADB ~ _______

a)

△ACE

b)

△AEC

c)

△EAC

d)

△ECA

206.

[BEGIN U4L4: Triangle Proportionality, Similarity Proofs] The TRIANGLE PROPORTIONALITY THEOREM says ___________ (check all that apply).

a)

All triangles have 3 angles.

b)

If a line segment divides two sides of a triangle proportionally, then it is parallel to the third side.

c)

If a line segment is parallel to one side of a triangle and intersects the other sides, then it divides those intersected sides proportionally.

d)

All triangles have 3 angles whose sum is 180 degrees.

207.

PROPORTIONAL PARTS AND PARALLEL LINES: If 3 or more parallel lines are intersected by two ________, then the parallel lines divide the ________ proportionally.

a)

perpendicular bisectors

b)

angles

c)

midpoints

d)

transversals

208.

Complete each proportion.
AB / BM = ? / CD

a)

BC

b)

AC

c)

MD

d)

MC

209.

Which proportion could be used to prove that $HJ\parallel KL$ ?

a)

$\frac{KL}{HJ}=\frac{KG}{LG}$

b)

$\frac{KH}{KG}=\frac{LG}{LJ}$

c)

$\frac{HK}{JL}=\frac{LG}{GK}$

d)

$\frac{GK}{HK}=\frac{GL}{LJ}$

210.

Find the missing length.

a)

14

b)

20

c)

16

d)

10

211.

Find x.

a)

54/7

b)

56/3

c)

11

d)

21/2

212.

Solve for X

a)

7.5

b)

4.8

c)

13.33

d)

5

213.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

214.

What is the height of the flag pole?

Show your work.

a)

205

b)

105

c)

230

d)

135

215.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

216.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

217.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

218.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS

b)

SAS

c)

AA

d)

None, the triangles are not similar

219.

Which similarity theorem, if any, proves that these triangles are similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

None, the triangles are not similar

220.

[END U4L4: Triangle Proportionality, Similarity Proofs] Give the reason for similarity.

a)

AA

b)

SAS

c)

SSS

d)

AAS

221.

[BEGIN U5L1 Intro to Trig Ratios & Missing Sides]
What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

222.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

223.

What side is the hypotenuse of the triangle?

a)

9

b)

40

c)

41

d)

none

224.

What is the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

225.

What is the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

226.

What is the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

227.

What is a common way to remember the definitions of the trig ratios?

a)

SAH COH TOA

b)

SOA COH TOA

c)

SOH CAH TOA

d)

ADJ OPP HYP

228.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

229.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

230.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

231.

Which trig function does not include the hypotenuse?

a)

sine

b)

cosine

c)

tangent

232.

Which trig function includes the opposite side and hypotenuse?

a)

sine

b)

cosine

c)

tangent

233.

Which trig function includes the adjacent side and hypotenuse?

a)

sine

b)

cosine

c)

tangent

234.

Find tan( $\alpha$ ) in the triangle.

a)

$\frac{21}{29}$

b)

$\frac{20}{29}$

c)

$\frac{21}{20}$

d)

$\frac{20}{21}$

235.

Find sin( $\alpha$ ) in the triangle.

a)

$\frac{12}{35}$

b)

$\frac{35}{37}$

c)

$\frac{35}{12}$

d)

$\frac{12}{37}$

236.

Find the cos( $\alpha$ ) in the triangle.

a)

$\frac{21}{20}$

b)

$\frac{20}{29}$

c)

$\frac{21}{29}$

d)

$\frac{20}{21}$

237.

In the diagram above, which of the following is true?

a)

sin(e) = $\frac{12}{17}$

b)

cos(e) = $\frac{12}{17}$

c)

sin(e) = $\frac{17}{12}$

d)

tan(e) = $\frac{17}{12}$

238.

a)

A

b)

B

c)

C

d)

D

239.

a)

A

b)

B

c)

C

d)

D

240.

[END U5L1 Intro to Trig Ratios & Missing Sides]

Find tan(C).

a)

A

b)

B

c)

C

d)

D

241.

[BEGIN U5L2 Finding Missing Sides and Angles with Trig Ratios]

Find tan(X).

a)

32/40

b)

40/24

c)

32/24

d)

24/32

242.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

243.

Find sin(C).

a)

21/35

b)

28/21

c)

35/28

d)

28/35

244.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

245.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

246.

Find the missing side.

a)

36

b)

76.8

c)

12

d)

40

247.

Relative to angle B, what is side AB?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

248.

Relative to angle B, what is side AC?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

249.

Solve for the missing distance.

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

250.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

251.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

252.

What is the side opposite angle A?

a)

12

b)

13

c)

5

d)

25

253.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

32°

b)

44°

c)

61°

d)

50°

254.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

255.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

$9.4\degree$

b)

$55.2\degree$

c)

$20.15\degree$

d)

$19.4\degree$

256.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

257.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

33°

b)

49°

c)

39°

d)

41°

258.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

$50.2\degree$

b)

$93.1\degree$

c)

$12.6\degree$

d)

$42.2\degree$

259.

Choose the correct ratio.

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

260.

[END U5L2 Finding Missing Sides and Angles with Trig Ratios]

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

$30.8\degree$

b)

$32.1\degree$

c)

$34.3\degree$

d)

$36.9\degree$

261.

[BEGIN U5L3 Complementary Angles] Find the measure of the angle x.

a)

$95\degree$

b)

$85\degree$

c)

$35\degree$

d)

$45\degree$

262.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

263.

Supplementary angle measures = (a) degrees.

264.

Complementary angle measures = (a) degrees.

265.

Find the complementary angle measures.

a)

75 and 105

b)

75 and 15

c)

25 and 65

d)

34 and 146

e)

38 and 52

266.

Find the missing angle.

a)

$72\degree$

b)

$68\degree$

c)

$90\degree$

d)

$78\degree$

267.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the cos C = 4 / 5, what is sin B?

a)

3 / 5

b)

3 / 4

c)

4 / 5

d)

5 / 4

268.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the sin C = 5 / 13, what is cos B?

a)

13 / 5

b)

5 / 13

c)

5 / 12

269.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the cos C = 8 / 10, what is sin B?

a)

10 / 8

b)

6 / 10

c)

8 / 10

270.

[END U5L3 Complementary Angles]

---

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the sin C = 7 / 25, what is cos B?

a)

7 / 25

b)

7 / 24

c)

24 / 25

271.

[BEGIN U5TR U5L1 Intro to Trig Ratios & Missing Sides]

---

[LANGUAGE] What word was used a lot in this unit?

2 lines

272.

[LANGUAGE] What is another word was used a lot in this unit?

2 lines

273.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

274.

What side is the hypotenuse of the triangle?

a)

9

b)

40

c)

41

d)

none

275.

What is the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

276.

What is the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

277.

What is the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

278.

What is a common way to remember the definitions of the trig ratios?

a)

SAH COH TOA

b)

SOA COH TOA

c)

SOH CAH TOA

d)

ADJ OPP HYP

279.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

280.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

281.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

282.

Which trig function does not include the hypotenuse?

a)

sine

b)

cosine

c)

tangent

283.

Find tan( $\alpha$ ) in the triangle.

a)

$\frac{21}{29}$

b)

$\frac{20}{29}$

c)

$\frac{21}{20}$

d)

$\frac{20}{21}$

284.

Find sin( $\alpha$ ) in the triangle.

a)

$\frac{12}{35}$

b)

$\frac{35}{37}$

c)

$\frac{35}{12}$

d)

$\frac{12}{37}$

285.

[END U5TR U5L1 Intro to Trig Ratios & Missing Sides]

Find tan(C).

a)

A

b)

B

c)

C

d)

D

286.

[BEGIN U5TR U5L2 Finding Missing Sides and Angles with Trig Ratios]

Find tan(X).

a)

32/40

b)

40/24

c)

32/24

d)

24/32

287.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

288.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

289.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

290.

Find the missing side.

a)

36

b)

76.8

c)

12

d)

40

291.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

292.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

293.

What is the side opposite angle A?

a)

12

b)

13

c)

5

d)

25

294.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

32°

b)

44°

c)

61°

d)

50°

295.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

296.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

$9.4\degree$

b)

$55.2\degree$

c)

$20.15\degree$

d)

$19.4\degree$

297.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

298.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

33°

b)

49°

c)

39°

d)

41°

299.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

$50.2\degree$

b)

$93.1\degree$

c)

$12.6\degree$

d)

$42.2\degree$

300.

Choose the correct ratio.

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

301.

[BEGIN U5TR U5L3 Complementary Angles] Find the measure of the angle x.

a)

$95\degree$

b)

$85\degree$

c)

$35\degree$

d)

$45\degree$

302.

Solve for the missing angle ...

HINT 1: Which side lengths have values?

HINT 2: What trig ratio should be used?

HINT 3: How do we find the ANGLE?

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

303.

Supplementary angle measures = (a) degrees.

304.

Complementary angle measures = (a) degrees.

305.

Find the complementary angle measures.

a)

75 and 105

b)

75 and 15

c)

25 and 65

d)

34 and 146

e)

38 and 52

306.

Find the missing angle.

a)

$72\degree$

b)

$68\degree$

c)

$90\degree$

d)

$78\degree$

307.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the cos C = 4 / 5, what is sin B?

a)

3 / 5

b)

3 / 4

c)

4 / 5

d)

5 / 4

308.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the sin C = 5 / 13, what is cos B?

a)

13 / 5

b)

5 / 13

c)

5 / 12

309.

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the cos C = 8 / 10, what is sin B?

a)

10 / 8

b)

6 / 10

c)

8 / 10

310.

[END U5L3 Complementary Angles]

[END U5TR]

---

Sine is the ratio of the opposite leg / hypotenuse.

Cosine is the ratio of the adjacent leg / hypotenuse.

Tangent is the ratio of the opposite leg / adjacent leg.

In Right Triangle ABC with right angle A ...

If the sin C = 7 / 25, what is cos B?

a)

7 / 25

b)

7 / 24

c)

24 / 25

311.

[BEGIN U6AL1 (Circle Language)] If you are given a radius, how can you find the diameter?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

312.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

313.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

314.

Can a secant be a tangent?

a)

yes - they are both the same line

b)

yes - they are both parts of a circle

c)

no - secants intersect circles twice, and tangents intersect circles once

d)

no - neither of them have nothing to do with circles

315.

Line segments with both endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

316.

a)

Name the circle: Circle B

b)

Name the circle: Circle DE

c)

Name the circle: Circle A

d)

Name the circle: Circle DBC

317.

The line segment from the center of a circle to the boundary of a circle (half of the diameter).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

318.

What part of the circle is present?

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

319.

What part of the circle is present?

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

320.

What part of the circle is present?

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

321.

What part of the circle is present?

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

322.

What part of the circle is present?

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

323.

What part of the circle is present?

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

324.

What part of the circle is present?

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

325.

What is this called?

a)

Chord

b)

Minor arc

c)

Secant

d)

Diameter

326.

What is this called?

a)

Tangent Line

b)

Secant

c)

Chord

d)

Diameter

327.

What is this called?

a)

Diameter

b)

Secant

c)

Tangent Line

d)

Radius

328.

What is this called?

a)

Major Arc

b)

Minor Arc

c)

Circumference

d)

Perimeter

329.

The perimeter of a circle is called...

a)

circumference

b)

arc

c)

radius

d)

tangent

330.

A line that goes through a circle intersecting the circle at two points.

a)

diameter

b)

chord

c)

tangent

d)

secant

331.

A line that touches the circle only once.

a)

diameter

b)

radius

c)

tangent

d)

chord

332.

When the distance from one point to the next on the circle is exactly 180^o (half of a circle).

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

333.

The short way around a circle that is less than 180^o.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

334.

The long way around a circle that is greater than 180^o.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

335.

An angle whose vertex (corner) is on the circle.

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

336.

An angle whose vertex (corner) is at the center of the circle.

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

337.

A line segment with 2 endpoints on the circle (select every correct answer).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

338.

A line segment that runs through the center of the circle (the longest chord).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

339.

[END U6AL1 (Circle Language)] The distance from the center of a circle to the boundary of a circle (half of the diameter).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

340.

[BEGIN U6AL2 (Central and Inscribed Angles)] Angle a is a(n) ___ angle.

a)

central

b)

inscribed

341.

Angle b is a(n) ___ angle.

a)

central

b)

inscribed

342.

Find the measure of the marked angle.

a)

52

b)

104

c)

26

d)

13

343.

Find the measure of the marked arc.

a)

15

b)

30

c)

60

d)

7.5

344.

Find the measure of the marked arc.

a)

90

b)

22.5

c)

45

d)

180

345.

Find the measure of the marked angle.

a)

22

b)

44

c)

11

d)

66

346.

Find the measure of the marked angle.

a)

130

b)

65

c)

260

d)

50

347.

Find the measure of the marked angle.

a)

140

b)

70

c)

35

d)

210

348.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

349.

Solve for x.

a)

5

b)

20

c)

40

d)

85

350.

Find the measure of arc NM

a)

192^o

b)

217^o

c)

186^o

d)

124^o

351.

Find the measure of the missing angle (?).

a)

115^o

b)

50^o

c)

124^o

d)

95^o

352.

Find the measure of the missing arc (?).

a)

98^o

b)

140^o

c)

85^o

d)

94^o

353.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

354.

Find the value of y.

(a)

355.

Find the value of x.

(a)

356.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

357.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

358.

If the endpoints of an arc lie on a diameter, the arc is a ....

a)

major

b)

minor

c)

semicircle

d)

sector

359.

[END U6AL2 (Central and Inscribed Angles)] In a circle (or congruent circles), the measure of an arc is:

a)

equal to twice the measure of its corresponding inscribed angle

b)

equal to the measure of its corresponding inscribed angle

c)

equal to half of the measure of its corresponding inscribed angle

d)

equal to four cups of wheat flour

360.

[BEGIN U6AL3L4 (Angles Inside and Outside Circle)] Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

361.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

362.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

363.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

364.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

365.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

366.

Find the angle indicated.

a)

123

b)

56

c)

324

d)

95

367.

Find the arc indicated.

a)

55

b)

175

c)

115

d)

285

368.

Find the arc indicated.

a)

112

b)

143

c)

53

d)

127

369.

Find the arc indicated.

a)

110

b)

-12

c)

105

d)

234

370.

Find the arc indicated.

a)

78

b)

51

c)

-78

d)

102

371.

Find the angle indicated.

a)

105

b)

255

c)

360

d)

75

372.

Find the angle indicated.

a)

70

b)

50

c)

60

d)

55

373.

Find the angle indicated.

a)

53

b)

65

c)

62

d)

3

374.

Find the angle indicated.

a)

128

b)

52

c)

76

d)

58

375.

Find the arc indicated.

a)

147

b)

41

c)

277

d)

65

376.

Find the angle indicated.

a)

145

b)

140

c)

75

d)

70

377.

Find the angle indicated.

a)

52

b)

103

c)

63

d)

117

378.

Find the angle indicated.

a)

180

b)

55

c)

80

d)

40

379.

[END U6AL3L4 (Angles Inside and Outside Circle)] Find the arc indicated.

a)

185

b)

75

c)

110

d)

100

380.

[BEGIN U6AL6 (Triangles and Quadrilaterals Inscribed in Circles + Tangents)] AB is a diameter. The measure of angle B is 58 degrees. Find the m < A.

a)

32

b)

128

c)

90

d)

There is not enough information to determine $m\angle A$

381.

AB is a diameter. The measure of angle C is 90 degrees and angle A is 79 degrees. Find the m < B.

a)

101

b)

90

c)

11

382.

AB is a diameter. The measure of angle C is 90 degrees and angle B is 68 degrees. Find the m < A.

a)

90

b)

112

c)

22

383.

AB is a diameter. The measure of angle C is 90 degrees and angle A is 17 degrees. Find the m < B.

a)

73

b)

163

c)

90

384.

The m < B = 123 degrees. Find the m < D.

a)

180

b)

90

c)

57

385.

The m < C = 27 degrees. Find the m < A.

a)

180

b)

153

c)

127

386.

Find the m < x.

a)

112 degrees

b)

98 degrees

c)

132 degrees

387.

Find the m < y.

a)

112 degrees

b)

82 degrees

c)

144 degrees

388.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

389.

In the inscribed quadrilateral ABCQ, opposite angles are

a)

congruent

b)

supplementary

c)

complementary

d)

sum to 360^o

390.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

391.

\angle X=

a)

$96\degree$

b)

$129$

c)

$84\degree$

d)

$49\degree$

392.

$\angle J=$

a)

$88\degree$

b)

$45\degree$

c)

$135\degree$

d)

$108\degree$

393.

$\angle W=$

a)

$129\degree$

b)

$96\degree$

c)

$84\degree$

d)

$49\degree$

394.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

395.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

396.

Find the radius r

a)

2

b)

3

c)

4

d)

5

397.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

398.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

399.

[END U6AL6 (Triangles and Quadrilaterals Inscribed in Circles + Tangents)] Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

400.

[BEGIN U6AL8 (Arc Length and Sector Area)] Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

401.

Find the arc length of arc AB.

a)

1.5 units

b)

18.85 units

c)

4.71 units

d)

200 units

402.

Find the estimated area of the shaded area.

a)

10.732 units squared

b)

100.53 units squared

c)

9.75 units squared

d)

3,015.93 units squared

403.

Find the area of the shaded space.

a)

113.10 units squared

b)

150.80 units squared

c)

157.82 units squared

d)

10.92 units squared

404.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

405.

Find the arc length.

a)

5.50 cm

b)

11.00 cm

c)

0.39 cm

d)

141.37 cm

406.

Find the area of the sector.

a)

A

b)

B

c)

C

d)

D

407.

Find the arc length of the bolded arc.

a)

A

b)

B

c)

C

d)

D

408.

Find the area of the shaded sector.

a)

9.23 in²

b)

10.51 in²

c)

31.42 in²

d)

38.27 in²

409.

What is the area of the shaded region?

a)

50.27 units²

b)

3015.93 units²

c)

8.38 units²

d)

4.19 units²

410.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26 units²

b)

452.39 units²

c)

113.10 units²

d)

40,715.04 units²

411.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

a)

161.97 mm²

b)

What's Pacman?

c)

39.1 mm²

d)

9.77 mm²

412.

Find the area of the shaded sector

a)

173.42 cm²

b)

212.06 cm²

c)

237.50 cm²

d)

not enough information

413.

A cathedral window is shown. If the window is to contain three stained glass sections of equal size, what is the area of EACH stained glass section? Express answer to the nearest square foot.

a)

1 ft²

b)

13 ft²

c)

3 ft²

d)

26 ft²

414.

Find the area of the shaded sector.

a)

37.70 cm²

b)

6.28 cm²

c)

28.27 cm²

d)

9.42 cm²

415.

Find the arc length.

a)

37.70 cm

b)

6.28 cm

c)

28.27 cm

d)

9.42 cm

416.

Find the area of the shaded sector.

a)

11.31 cm²

b)

3.77 cm²

c)

7.54 cm²

d)

23.56 cm²

417.

Find the arc length.

a)

11.31 cm

b)

3.77 cm

c)

7.54 cm

d)

23.56 cm

418.

Find the length of the minor arc.

a)

5.24 units

b)

1.88 units

c)

2.62 units

d)

3.77 units

419.

[END U6AL8 (Arc Length and Sector Area)] What is the area of the indicated region?

a)

A

b)

B

c)

C

d)

D

420.

[BEGIN U6AL9 (Equation of Circle)] In the equation (x - 3)²+ (y - 2)²= 16, the center of the circle is...

a)

(3, 2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

421.

In the equation (x - 4)²+ (y - 3)²= 25, the radius is

a)

4

b)

3

c)

5

d)

25

422.

In the equation (x - 4)²+ (x - 3)²= 25, the center of the circle is at...

a)

(-3, -4)

b)

(4, 3)

c)

(-4, -3)

d)

(3, 4)

423.

In the equation (x - 3)²+ (y + 4)²= 121, the radius of the circle is

a)

3

b)

11

c)

121

d)

4

424.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

425.

See Picture

a)

A

b)

B

c)

C

426.

See Picture

a)

A

b)

B

c)

C

d)

D

427.

What is the equation of the circle?

a)

(x + 1)² + (y + 1)² = 3

b)

(x + 1)² + (y - 1)² = 3

c)

(x + 1)² + (y + 1)² = 9

d)

(x - 1)² + (y - 1)² = 9

428.

a)

A

b)

B

c)

C

d)

D

429.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

430.

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

a)

4

b)

8

c)

4√2

d)

2√2

431.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 5)²+ (y + 2)²= 144

b)

(x - 5)² + (y + 2)² = 36

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 5)²+ (y - 2)²= 144

432.

What does (h,k) tell us in the standard circle equation?

a)

(h,k) is the center of the circle

b)

(h,k) is a point on the circle.

c)

(h,k) is a point that we guess and find

d)

(h,k) is the distance of the circle

433.

What does the r in the standard equation stand for?

a)

r is the distance of the circle

b)

r is the radius of the circle

c)

r is the x coordinate of the center of the circle

d)

r is the y coordinate of the center of the circle

434.

Find the center of the circle if the endpoints of a diameter of the circle are at (-11, -7) and (3, 5)

a)

(-4, -1)

b)

(-8, -2)

c)

(-7, -6)

d)

(4, 1)

435.

Write the equation of the circle.

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

436.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

437.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

438.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

439.

[END U6AL9 (Equation of Circle)] What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

440.

[BEGIN U6AL10 Circles Test Review U6ATR][BEGIN U6AL1 (Circle Language)]

If you are given a radius, how can you find the diameter?

a)

Divide the radius by 2

b)

Square the radius

c)

Multiply the radius by 2

d)

Take the square root of the radius

441.

What part of the circle is present?

a)

Tangent

b)

Secant

c)

Chord

d)

Diameter

442.

What part of the circle is present?

a)

diameter

b)

radius

c)

chord

d)

secant

443.

What part of the circle is present?

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

444.

What part of the circle is present?

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

445.

What part of the circle is present?

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

446.

What part of the circle is present?

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

447.

A segment that goes through a circle intersecting the circle at two points.

a)

diameter

b)

chord

c)

tangent

d)

secant

448.

A segment/chord that runs through the center of the circle (the longest chord).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

449.

[END U6AL1 (Circle Language)] The distance from the center of a circle to the boundary of a circle (half of the diameter).

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

450.

[BEGIN U6AL2 (Central and Inscribed Angles)] Angle a is a(n) ___ angle.

a)

central

b)

inscribed

451.

Angle b is a(n) ___ angle.

a)

central

b)

inscribed

452.

Find the measure of the marked angle.

a)

52

b)

104

c)

26

d)

13

453.

Find the measure of the marked arc.

a)

15

b)

30

c)

60

d)

7.5

454.

Find the measure of the marked angle.

a)

22

b)

44

c)

11

d)

66

455.

Find the measure of the marked angle.

a)

140

b)

70

c)

35

d)

210

456.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

457.

Solve for x.

a)

5

b)

20

c)

40

d)

85

458.

Find the measure of arc NM

a)

192^o

b)

217^o

c)

186^o

d)

124^o

459.

Find the value of x.

(a)

460.

[END U6AL2 (Central and Inscribed Angles)] In a circle (or congruent circles), the measure of an arc is:

a)

equal to twice the measure of its corresponding inscribed angle

b)

equal to the measure of its corresponding inscribed angle

c)

equal to half of the measure of its corresponding inscribed angle

d)

equal to four cups of wheat flour

461.

[BEGIN U6AL3L4 (Angles Inside and Outside Circle)] Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

462.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

463.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

464.

Find the m∠MNQ.

a)

89⁰

b)

45⁰

c)

158⁰

d)

22⁰

465.

Find the arc indicated.

a)

55

b)

175

c)

115

d)

285

466.

Find the arc indicated.

a)

112

b)

143

c)

53

d)

127

467.

Find the arc indicated.

a)

78

b)

51

c)

-78

d)

102

468.

Find the angle indicated.

a)

70

b)

50

c)

60

d)

55

469.

[END U6AL3L4 (Angles Inside and Outside Circle)] Find the arc indicated.

a)

185

b)

75

c)

110

d)

100

470.

[BEGIN U6AL6 (Triangles and Quadrilaterals Inscribed in Circles + Tangents)] AB is a diameter. The measure of angle B is 58 degrees. Find the m < A.

a)

32

b)

128

c)

90

d)

There is not enough information to determine $m\angle A$

471.

AB is a diameter. The measure of angle C is 90 degrees and angle A is 79 degrees. Find the m < B.

a)

101

b)

90

c)

11

472.

AB is a diameter. The measure of angle C is 90 degrees and angle B is 68 degrees. Find the m < A.

a)

90

b)

112

c)

22

473.

AB is a diameter. The measure of angle C is 90 degrees and angle A is 17 degrees. Find the m < B.

a)

73

b)

163

c)

90

474.

The m < B = 123 degrees. Find the m < D.

a)

180

b)

90

c)

57

475.

The m < C = 27 degrees. Find the m < A.

a)

180

b)

153

c)

127

476.

Find the m < x.

a)

112 degrees

b)

98 degrees

c)

132 degrees

477.

Find the m < y.

a)

112 degrees

b)

82 degrees

c)

144 degrees

478.

In the inscribed quadrilateral ABCQ, opposite angles are

a)

congruent

b)

supplementary

c)

complementary

d)

sum to 360^o

479.

\angle X=

a)

$96\degree$

b)

$129$

c)

$84\degree$

d)

$49\degree$

480.

A tangent line intersecting with a radius always creates a ____________ angle

a)

right

b)

acute

c)

obtuse

d)

straight

481.

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

a)

15

b)

6

c)

-24

d)

14

482.

Find the radius r

a)

2

b)

3

c)

4

d)

5

483.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

484.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

485.

[END U6AL6 (Triangles and Quadrilaterals Inscribed in Circles + Tangents)] Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

486.

[BEGIN U6AL8 (Arc Length and Sector Area)] Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

487.

Find the arc length of arc AB.

a)

1.5 units

b)

18.85 units

c)

4.71 units

d)

200 units

488.

Find the area of the shaded space.

a)

113.10 units squared

b)

150.80 units squared

c)

157.82 units squared

d)

10.92 units squared

489.

Find the area of the sector.

a)

A

b)

B

c)

C

d)

D

490.

Find the area of the shaded sector.

a)

9.23 in²

b)

10.51 in²

c)

31.42 in²

d)

38.27 in²

491.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body?

a)

161.97 mm²

b)

What's Pacman?

c)

39.1 mm²

d)

9.77 mm²

492.

[BEGIN U6AL9 (Equation of Circle)] In the equation (x - 3)²+ (y - 2)²= 16, the center of the circle is...

a)

(3, 2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

493.

In the equation (x - 4)²+ (y - 3)²= 25, the radius is

a)

4

b)

3

c)

5

d)

25

494.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

495.

See Picture

a)

A

b)

B

c)

C

d)

D

496.

What is the equation of the circle?

a)

(x + 1)² + (y + 1)² = 3

b)

(x + 1)² + (y - 1)² = 3

c)

(x + 1)² + (y + 1)² = 9

d)

(x - 1)² + (y - 1)² = 9

497.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

498.

a)

A

b)

B

c)

C

d)

D

499.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 5)²+ (y + 2)²= 144

b)

(x - 5)² + (y + 2)² = 36

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 5)²+ (y - 2)²= 144

500.

[END U6AL10 Circles Test Review U6ATR]
[END U6AL9 (Equation of Circle)]

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

GU1-6A 2024-2025 Review (Poly, Proofs, Cong, Sim, RightTri, Cir)

Total questions: 500

Worksheet time: 88hrs 2mins

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