Free Printable Geometry Year-Long Review/Test Prep

1.

Select the pairs of angles that are Corresponding Angles. (Select all that apply)

a)

$\angle1\ and\ \angle5$

b)

$\angle2\ and\ \angle6$

c)

$\angle3\ and\ \angle7$

d)

$\angle3\ and\ \angle6$

e)

$\angle1\ and\ \angle4$

2.

Select the pairs of angles that are Alternate Interior Angles. (Select all that apply)

a)

$\angle3\ and\ \angle6$

b)

$\angle4\ and\ \angle5$

c)

$\angle1\ and\ \angle6$

d)

$\angle3\ and\ \angle5$

e)

$\angle6\ and\ \angle7$

3.

Identify the angle pairs below that represent a vertical relationship. Select 2.

a)

∠1

b)

∠8

c)

∠6

d)

∠5

4.

Identify the angles below that represent a supplementary relationship. Select 2.

a)

∠1

b)

∠3

c)

∠8

d)

∠5

5.

Find the value of x

a)

28

b)

5

c)

55

d)

40

6.

Find the value of t

a)

-1

b)

5

c)

5.14

d)

7

7.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

8.

If angle 1 is 125 degrees, how many degrees is angle 6?

a)

125 degrees

b)

55 degrees

c)

65 degrees

d)

155 degrees

9.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

10.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

11.

The last statement is <4 = <6. What is the last reason

a)

Prove

b)

Definition of congruent angles

c)

Transitive Property

d)

Alternate Interior Angles Theorem

12.

Select all that are true

a)

Angles D and E are Linear Pairs

b)

Angles A, B and C are supplementary

c)

Angles A and E are congruent

d)

Angles D and B are congruent

13.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

14.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

15.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

16.

$y=\frac{2}{5}x+2$

$y=\frac{5}{2}x-3$
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

17.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

18.

Which equation is parallel to the x-axis and goes through the point (2, 5)?

a)

x = 2

b)

x = 5

c)

y = 2

d)

y = 5

19.

$y=-\frac{2}{3}x+2$

$y=\frac{3}{2}x+9$

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

21.

For the equation

y + 3 = -4(x - 2),

which of the following is true?

a)

The line has m = −4 passing through the point (2, -3)

b)

The line has m = 4 passing through the point (3, −2)

c)

The line has m = 3 passing through the point (-4, -2)

d)

The line has m = −4 passing through the point (−3, 2)

22.

What is the equation of the line that is perpendicular

to the line passing through the points (-2, 3) and (4, -5)?

a)

y = 4/3x + 9

b)

y = -4/3x + 9

c)

y = 3/4x + 9

d)

y = -3/4x + 9

23.

Are the Lines Parallel? How do you know?

Line 1 runs through the points (-6, 6) and (0, 5)

Line 2 runs through the points (0, -3) and (6, -4)

a)

Yes, their slopes are opposite reciprocals

b)

Yes, their slopes are the same

c)

No, their slopes are opposite reciprocals

d)

No, their slope are the same

24.

Are the lines Perpendicular? How do you know?

Line 1 runs through the point (0, -1) and (7, 1)

Line 2 runs through the point (-1, 4) and (2, -5)

a)

Yes, their slopes are opposite reciprocals

b)

No, their slopes are not opposite reciprocals

c)

Yes, their slope are the same

d)

No, their slopes are not the same

25.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

26.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

27.

Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
(HINT: PARALLEL LINES HAVE THE SAME SLOPE)

a)

y - 1 = 1/2(x - 3)

b)

y + 1 = 1/2(x + 3)

c)

y - 1 = - 1/2(x - 1)

d)

y + 1 = - 1/2(x + 3)

28.

Write the equation of a line perpendicular to the one pictured through the point (3,1) in point slope form.
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)

a)

y - 1 = 1/2 (x - 3)

b)

y + 1 = 2 (x + 3)

c)

y - 1 = - 1/2 (x - 1)

d)

y - 1 = - 2 (x - 3)

29.

Match the following triangles with their angle classification.

a)

1.

Right Triangle

b)

2.

Acute Triangle

c)

3.

Obtuse Triangle

30.

Match the following triangles with their side classification.

a)

1.

Equilateral Triangle

b)

2.

Scalene Triangle

c)

3.

Isosceles Triangle

31.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

32.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

33.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

34.

Solve for x.

a)

13

b)

8

c)

11

d)

4

35.

Solve for x.

a)

34

b)

9

c)

109

d)

7

36.

Find the value of x by using the exterior angle theorem.

a)

A

b)

B

c)

C

d)

D

37.

AD = 12. Find AG

a)

6

b)

8

c)

18

d)

12

38.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

39.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

40.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

41.

For the equilateral triangle solve for x

a)

9

b)

11

c)

-9

d)

129

42.

What is the value of x?

a)

20

b)

60

c)

15

d)

40

43.

Find x

a)

3

b)

4

c)

2

d)

10

44.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

45.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

46.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

47.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

48.

Use the congruency statement to answer the following:

\angle F=?

a)

$\angle H$

b)

$\angle I$

c)

$\angle G$

d)

not congruent to another angle

49.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

50.

ΔABE ≅ Δ_____ by _____

a)

ΔCDE , ASA

b)

ΔEDC , AAS

c)

ΔCDE , AAS

d)

Cannot Be Determined

51.

What is the correct choice for Reason 4?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

52.

What is Reason B?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

53.

What is Reason D?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

54.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence

55.

What is Reason F?

a)

CPCTC

b)

Given

c)

Definition of Congruence

d)

Definition of Perpendicular

56.

What are #3 & #4 Statements?

a)

#3 - Reflexive Property

#4 - Alternate Interior Angles

b)

#3 - Reflexive Property

#4 - Vertical Angles

c)

#3 - Segment Bisector

#4 - Vertical Angles

d)

#3 - Segment Bisector

#4 - Reflexive Property

57.

Which statement would make these 2 triangles congruent by SSS?

a)

$\overline{DE}\ \cong\overline{AB}$

b)

$\overline{ED}\cong\overline{AB}$

c)

$\overline{BA}\cong\overline{ED}$

d)

$\overline{CA}\cong\overline{CE}$

58.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

59.

What is the formula for scale factor?

a)

$\frac{new}{old}$

b)

$\frac{old}{new}$

60.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

61.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

62.

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

63.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

64.

Find missing side

a)

5

b)

7

c)

9

d)

11

65.

a)

4 ft

b)

15 ft

c)

18 ft

d)

2 ft

66.

a)

5

b)

10

c)

12

d)

15

67.

solve for x

a)

1.5

b)

27/7

c)

9

d)

17.25

68.

Find y.

a)

144

b)

18

c)

72

d)

12

69.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

x = 900 m

b)

x = 52 m

c)

x = 25 m

d)

x = 0.04 m

70.

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

71.

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

72.

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

73.

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

74.

Can a triangle be formed with side lengths:
4, 7, 10

a)

yes

b)

no

c)

not enough information

75.

Can a triangle be formed with side lengths:
17, 9, 30

a)

yes

b)

no

c)

not enough information

76.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

77.

Solve for x

a)

20.8

b)

63.7

c)

27.3

d)

21.4

78.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

79.

Find the value of x.

a)

10

b)

35

c)

8

d)

None of these

80.

Find the value of x.

a)

6

b)

12

c)

8

d)

None of these

81.

Solve for x.

a)

7

b)

14

c)

10

d)

5

82.

a)

8

b)

9.5

c)

10

d)

10.5

83.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

84.

A tree casts a shadow that is 12 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the tree?

a)

14

b)

8

c)

10

d)

16

85.

A building casts a shadow that is 30 meters long. At the same time, a 2-meter tall person standing nearby casts a shadow that is 1.5 meters long. How tall is the building?

a)

35

b)

25

c)

20

d)

40

86.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

87.

a)

74

b)

100

c)

104

d)

108

88.

While vacationing in Egypt, the awesome Geometry student Spencer calculated the height of the Great Pyramid. According to Columbus East High School legend, Spencer placed a pole at the tip of the pyramid’s shadow and used similar triangles to calculate its height. This involved some estimating because he was unable to measure the distance from directly beneath the height of the pyramid to the tip of the shadow. Calculate the height of the pyramid from the information given in the diagram.

a)

62.8 meters

b)

155 meters

c)

148.8 meters

d)

258 meters

89.

Find the height of the actual tent:

a)

12 ft.

b)

14.75 ft.

c)

14 ft.

d)

10 ft.

90.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

x = 900 m

b)

x = 52 m

c)

x = 25 m

d)

x = 0.04 m

91.

Which formula can be used to find the distance between 2 points on the coordinate plane?

a)

b)

c)

d)

92.

What is the perimeter of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).

a)

13 units

b)

26 units

c)

42 units

d)

10 units

93.

What is the area of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).

a)

11 units²

b)

42 units²

c)

13 units²

d)

26 units²

94.

Calculate the length for each side of the triangle.

a)

AB = 3.6, BC = 4.5, AC = 4.1

b)

AB = 4.1, BC = 5.6, AC = 7.5

c)

AB = 4.5, BC = 3.6, AC = 4.1

d)

AB = 4.1, BC = 3.6, AC = 4.5

95.

What is the perimeter of the triangle? (Round to the nearest tenth)

a)

12

b)

about 13.2

c)

21

d)

about 12.6

96.

What is the approximate perimeter of right triangle ABC? (round to the nearest whole number)

a)

17 units

b)

15 units

c)

14 units

d)

16 units

97.

Calculate the length for each side of the rectangle.

a)

AB = 9, BC = 4.5, CD = 9, DA= 4.5

b)

AB = 6, BC = 3.29, CD = 6, DA= 3.29

c)

AB = 6.31, BC = 4.1, CD = 6.31, DA= 4.1

d)

AB = 5.65, BC = 4.24, CD = 5.65, DA= 4.24

98.

Calculate the perimeter of the rectangle.

a)

27 units

b)

18.58 units

c)

14.73 units

d)

19.78 units

99.

What is the perimeter of rectangle ABCD? Round to the nearest whole number if necessary.

a)

18 units

b)

19 units

c)

12 units

d)

25 units

100.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

101.

What is the area (in units²) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

16 units²

b)

28 units²

c)

14 units²

d)

32 units²

102.

What is the perimeter of the parallelogram? Round to the nearest hundredth if necessary.

a)

20.95 units

b)

20.94 units

c)

18.33 units

d)

18.32 units

103.

What is the area of the rectangle?

a)

28 units squared

b)

45 units squared

c)

33 units squared

d)

19 units squared

104.

What is the area of the figure?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

105.

What is the area of the quadrilateral with vertices at (-1, 0), (2, 0), (2, 5), and (-1, 5)?

a)

15 square units

b)

12 square units

c)

10 square units

d)

5 square units

106.

What is the area of this figure?

a)

7 units²

b)

15 units²

c)

7 1/2 units²

d)

15 1/2 units²

107.

Square ABCD has vertices A(-2,-3), B(4, -1), C(2, 5), and D(-4, 3). What is the area of the square?

a)

$2\sqrt{10}$

b)

$4\sqrt{10}$

c)

40

d)

20

108.

Find the area of rectangle ABCD. (Hint: You'll need to use the distance formula to find the side lengths).

a)

4.47

b)

11.18

c)

30.0

d)

22.36

109.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

110.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

111.

A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is the distance? Round your answer to the nearest whole number.

a)

30 meters

b)

83 meters

c)

164 meters

d)

260 meters

112.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

113.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

a)

26.5 yards

b)

10 yards

c)

50 yards

d)

46.7 yards

114.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

115.

if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

a)

8.54 feet

b)

10.44 feet

c)

10 feet

d)

4.12 feet

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

120.

A kite is flying 84 ft off the ground, and it string is pulled taut. The angle of elevation of the kite is $65\degree$ . Find the length of the string. Round your answer to the nearest tenth.

a)

198.8 ft

b)

92.7 ft

c)

39.2 ft

d)

76.1 ft

121.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

122.

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

123.

If a tree casts a 8-meter shadow, and the angle from the ground to the tree is 30 degrees, what is the height of the tree?

a)

2.3

b)

6.9

c)

10.3

d)

4.6

124.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

125.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

126.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

127.

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be?

a)

5.3 feet

b)

2.8 feet

c)

3.2 feet

d)

11.3 feet

128.

The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?

a)

(-3, 4)

b)

(3, -4)

c)

(-3, -4)

d)

(3, 4)

129.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

130.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

131.

Figure EFGH in the coordinate plane has vertices at (-5,2), (-5,-2), (-1,-2), and (-1,2). If the figure is translated 7 units to the right and 3 units down, what are the coordinates of the E'F'G'H'?

Plot the 4 new points.

132.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

133.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

134.

How was B translated to B' if B' is at (4, -2)?

a)

Translated 6 units down

b)

Translated 2 units to the left and 6 units down

c)

Translated 2 units to the right and 6 units down

d)

Translated 2 units to the right

135.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

136.

Use the given translation rule to find the image of the point (4,2)

(a)

137.

Use the given translation rule to find the

pre-image of the point (7,-5)

(a)

138.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

139.

Pick a rule to describe the rotation

a)

90 degrees clockwise around the origin

b)

90 degrees counter clockwise around the origin

c)

180 degrees around the origin

140.

Pick a rule to describe the rotation

a)

90 degrees clockwise around the origin

b)

90 degrees counter clockwise around the origin

c)

180 degrees around the origin

141.

If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?

a)

(0, 0)

b)

(-6, -5)

c)

(-1, 3)

d)

(-6, 2)

142.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

143.

Give the coordinate of the point A after of rotation of 90⁰ counterclockwise (anticlockwise) about the point (1, 3)

a)

(1, 4)

b)

(2, 1)

c)

(2, 7)

d)

(2, 3)

144.

Give the coordinate of point C after a rotation of 180⁰ about the point (-1, 1)

a)

(-5, 0)

b)

(-2, 5)

c)

(0, -3)

d)

(0, 3)

145.

What would the coordinates be for Q(4,1) after a translation 3 units left and 4 units down, then a reflection over the x-axis?

a)

(1, -3)

b)

(-1, -3)

c)

(1, 3)

d)

(-1, 3)

146.

A(-5, -1) L(-3, -2) T(-3, 2)
Rotate triangle ALT 180° clockwise about the origin, then reflect over the line x=1.

a)

A'' (5, 1) L''(3, 2) T''(3, -2)

b)

A'' (3, 1) L''(1, 2) T''(1, -2)

c)

A'' (5, -1)
L''(3, -2)
T''(3, 2)

d)

A'' (-3, 1)
L''(-1, 2)
T''(-1,-2)

147.

What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

148.

Plot A(4,1) B(5,4) C(1,2). Reflect it over the x-axis, then translate it 3 units left. What are the coordinates of A'B'C'?

a)

A' (-1, -1) B' (-2, -4) C' (2, -2)

b)

A' (4, -4) B' (5, -7) C' (1, -5)

c)

A' (-7, 1) B' (-8, 4) C' (-4, 2)

d)

A' (1, -1) B' (2, -4) C' (-2, -2)

149.

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

150.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

151.

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

152.

A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle.

a)

(x + 1)² + (y - 3)²= 5

b)

(x - 1)² + (y + 3)²= 25

c)

(x + 1)² + (y - 3)²= 25

d)

(x - 1)² + (y + 3)²= 5

153.

The endpoints of a diameter of a circle are (3,1) and (9,5).Find the equation of the circle?

a)

(x−6)²+(y−3)²=13

b)

(x−3)²+(y−6)²=13²

c)

(x−5)²+(y−9)²=13

d)

(x−9)²+(y−5)²=169/4

154.

Convert the equation of the circle from standard to general.

a)

A

b)

B

c)

C

d)

D

155.

Identify the center and the radius of the circle in general form.

a)

A

b)

B

c)

C

d)

D

156.

Graph the circle given by the equation $\left(x-6\right)^2+\left(y-1\right)^2=9$ and identify its center and radius.

a)

Center: (6, 1), Radius: 3

b)

Center: (0, 0), Radius: 9

c)

Center: (6, 1), Radius: 9

d)

Center: (1, 6), Radius: 3

157.

Graph the circle given by the equation $\left(x-2\right)^2+\left(y+3\right)^2=36$ and identify its center and radius.

a)

Center: (2, -3), Radius: 6

b)

Center: (-2, 3), Radius: 6

c)

Center: (2, 3), Radius: 36

d)

Center: (-2, -3), Radius: 36

158.

Write the equation of the circle with center C( 4 , -8 ) and radius = 5

a)

( x - 4 )² + ( y + 8 )² = 25

b)

( x + 4 )² + ( y - 8 )² = 25

c)

( x - 4 )² + ( y - 8 )² = 25

d)

( x + 4 )² + ( y - 8 )² = 10

159.

What is the equation for this circle?

a)

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

b)

x²+y²=9

c)

x+y=9

160.

Which equation matches the circle on the graph?

a)

(x-3)²+(y-4)²=16

b)

(x-5)²+(y-2)²=20

c)

(x+3)²+(y+4)²=16

d)

(x-9)²+(y-16)²=32

161.

The point (3,3) is on a circle whose center is at (-1,3). Write the standard form of the equation of the circle.

a)

(x-3)²+(y-3)²=4

b)

(x-3)²+(y-3)²=16

c)

(x+1)²+(y-3)²=9

d)

(x+1)²+(y-3)²=16

162.

Use the information provided to write the standard form equation of the circle.

a)

A

b)

B

c)

C

d)

D

163.

Use the information provided to write the standard form equation of the circle.

a)

A

b)

B

c)

C

d)

D

164.

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

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

165.

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

a)

(x+1)² + (y-4)² = 4

b)

(x+1)² + (y+4)² = 16

c)

(x-1)² + (y-4)² = 16

d)

(x+1)² + (y+4)² = 4

166.

If the endpoints of a diameter of a circle are (6, 2) and (0, 2), what is the equation of the circle?

a)

$\left(x-3\right)^2+\left(y-2\right)^2=9$

b)

$\left(x+3\right)^2+\left(y+2\right)^2=3$

c)

$\left(x-6\right)^2+\left(y+4\right)^2=9$

d)

$\left(x-6\right)^2+\left(y+4\right)^2=3$

167.

Which is the equation of a circle given endpoints of the diameter are (0,5) (2,3)

a)

(x - 1)²+ (y - 4)²= 2

b)

(x - 1)²+ (y - 4)²= 4

c)

(x + 1)²+ (y + 4)²= 1

d)

(x + 1)²+ (y - 4)²= 4

168.

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

a)

(x+2)² + (y+3)² = 49

b)

(x+2)² + (y+3)² = 13

c)

(x-2)² + (y-3)² = 49

d)

(x-2)² + (y-3)² = 13

169.

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

a)

C = (5,-4) r = 7

b)

C = (-5,4) r = 7

c)

C = (-4,5) r = 49

d)

C = (5,-4) r = 49

170.

Use the given general form to write the equation of the circle.

$x^2+y^2+10x-26y+169=0$

a)

$\left(x+5\right)^2+\left(y-13\right)^2=625$

b)

$\left(x+5\right)^2+\left(y-13\right)^2=25$

c)

$\left(x+5\right)^2+\left(y-13\right)^2=9$

d)

$\left(x+13\right)^2+\left(y-5\right)^2=25$

171.

Use the given general form to write the equation of the circle.

$x^2+y^2-12x-18y+81=0$

a)

$\left(x+7\right)^2+\left(y+11\right)^2=1296$

b)

$\left(x-8\right)^2+\left(y+5\right)^2=36$

c)

$\left(x-6\right)^2+\left(y-9\right)^2=36$

d)

$\left(x-4\right)^2+\left(y+8\right)^2=36$

172.

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

a)

(x-3)² + (y+6)² = 25

b)

(x+3)² + (y-6)² = 25

c)

(x-3)² + (y+6)² = 45

d)

(x+3)² + (y-6)² = 5

Geometry Year-Long Review/Test Prep

Total questions: 172

Worksheet time: 4hrs 51mins

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