Free Printable CBA 3 GEO 22-23

1.

<ABC and <CBD form a linear pair. If m<ABC= 12x-10 and m<CBD= 4x+30, what is the value of x

(a)

2.

What is the value of x

(a)

3.

What is the value of y?

(a)

4.

Which of the following angle pairs are Alternate Interior Angles?

a)

<1 and <3

b)

<3 and <6

c)

<3 and <5

d)

<2 and <8

5.

Which of the following angles pairs are Same Side Interior Angles?

a)

<1 and <2

b)

<1 and <8

c)

<3 and <5

d)

<3 and <6

6.

Which of the following angles pairs are Alternate Exterior Angles?

a)

<1 and <8

b)

<1 and <7

c)

<3 and <6

d)

<8 and <3

7.

Which of the following angles pairs are Corresponding Angles?

a)

<1 and <4

b)

<2 and <7

c)

<3 and <5

d)

<4 and <8

8.

Find the value of x.

(a)

9.

Which of the following is the correct congruency statement for the triangles?

a)

$\Delta ABC\cong\Delta ZYX$

b)

$\Delta XYZ\cong\Delta ABC$

c)

$\Delta BCA\cong\Delta XYZ$

d)

$\Delta XYZ\cong\Delta CBA$

10.

The ratio of iphones to androids at a high school is 23:2. If there are 900 total students at the high school, how many students have iphones?

(a)

11.

The lengths of the sides of a triangle are in the extended ratio 3 :5 :6. The perimeter of the triangle is 98

in. What is the length of the longest side?

(Just write the number)

(a)

12.

What is geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

13.

Find the geometric mean for 5 and 8

a)

4

b)

10

c)

2√10

d)

4√10

14.

\angle3\ and\ \angle6\ are\ examples\ of\ which\ type\ of\ angle\ pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

15.

What is a transversal?

a)

A line that intersects two or more lines

b)

The angles opposite of each other when two lines cross

c)

Two angles whose sum measures 180 degrees

d)

Lines that intersect to form a 90 degree angle

16.

\angle6\ and\angle7\ are\ examples\ of\ which\ type\ of\ angle\ pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

17.

Select all angles that are congruent to

78\degree

a)

2

b)

8

c)

7

d)

1

e)

5

18.

Solve for x

a)

75

b)

10

c)

180

d)

95

e)

90

19.

Determine if the two triangles are congruent. If so, state the postulate.

a)

ASA

b)

Not enough information

c)

SSS

d)

SAS

20.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

SSS

b)

AAS

c)

Not enough information

d)

SAS

21.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

22.

Determine if the two triangles are congruent. If they are, state the postulate.

a)

ASA

b)

SAS

c)

SSS

d)

Not enough information

23.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

24.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

25.

Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

26.

# 9, First page Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

27.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

60

b)

100

c)

80

d)

20

28.

Solve for x.

a)

14

b)

16

c)

36

d)

25

29.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

30.

In this isosceles triangle, what is the length of x?

a)

8√2

b)

$\frac{8}{\sqrt{2}}$

c)

16

d)

8

31.

What is the length of the short leg of this 30-60-90 triangle?

a)

6

b)

$\frac{6}{\sqrt{3}}$

c)

3

d)

$\frac{6}{\sqrt{2}}$

32.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

33.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

34.

Find the measure of the missing angle in the picture:

(a)

35.

In your answer, only write the number, do not include the unit

(a)

36.

Find the missing angle measure:

(a)

37.

Find the missing angle measure:

(a)

38.

A ray opposite Ray LM is...

a)

ray ML

b)

ray LP

c)

RAY PL

d)

Ray LQ

39.

Find what the value of x.

a)

118

b)

108

c)

28

d)

58

40.

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

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

41.

What is the relationship of the angle pair?

a)

Complementary

b)

Supplementary

c)

Vertical

42.

What is the relationship of the angle pair?

a)

Complementary

b)

Supplementary

c)

Vertical

43.

Which is the correct reason for statement 1 in the proof?

a)

Definition of Congruent Angles

b)

Substitution

c)

Transitive Property

d)

Given

44.

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

a)

Definition of Supplementary Angles

b)

Angle Addition Postulate

c)

Definition of Right Angle

d)

Definition of Complementary Angles

45.

Which of the following is the best option to fill in for blank #1 in the STATEMENTS section of this geometric proof?

a)

Given

b)

m∠1 + m∠3 = 180°

c)

∠1 ≅ ∠4

d)

∠1 and ∠3 are supplementary

46.

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

a)

Definition of Supplementary Angles

b)

Angle Addition Postulate

c)

Definition of Right Angle

d)

Definition of Complementary Angles

47.

Find x.

a)

-8

b)

-4

c)

8

d)

12

48.

If B is between A and C, then

AB + BC = AC

is an example of ______,

a)

distance

b)

postulate

c)

segment addition

d)

angle addition

49.

Find measurement for PR.

a)

9

b)

1

c)

-1

d)

3

50.

Name the line that is the intersection of ADG and DEF

a)

$BC\longleftrightarrow$

b)

$DF\longleftrightarrow$

c)

$AD\longleftrightarrow$

d)

$BE\longleftrightarrow$

51.

Points that lie on the same plane are ________.

a)

collinear

b)

coplanar

c)

parallel

d)

perpendicular

52.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

53.

Name 4 collinear points

a)

HMNO

b)

IKNO

c)

MJOL

d)

HNKI

54.

Name the point of intersection between the lines $AD\longleftrightarrow$ and $DF\longleftrightarrow$

a)

D

b)

F

c)

A

d)

B

55.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

56.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

57.

Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).

a)

(2, -5)

b)

(10, -8)

c)

(-8, -5)

d)

(12, -5)

58.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

59.

What is the midpoint between (-4, 4) and (-2, 2)

a)

(-6, 6)

b)

(-3, 3)

c)

(1, 3.5)

d)

(-6, 3)

60.

Given the line segment AB with endpoint located at A (3, 5) and B(4, 3) respectively, find the point P that partitions the line segment AB into the ratio 1:3.

(ONLY ONE OF THE POSSIBLE TWO IS LISTED)

a)

(3.75, 2.5)

b)

(3.25, 4.5)

c)

(4.75, 1.5)

d)

(5.75, 1.5)

61.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

62.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

63.

What is the reason?

a)

Transitive

b)

Substitution

c)

Middle Man

d)

Replacing

64.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

65.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

66.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

67.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

68.

Choose the correct answer below

a)

c is parallel to d

b)

c is perpendicular to d

c)

c and d are neither parallel nor perpendicular

69.

Type measure of the missing angle

NOTE: Only type the number do NOT include "x ="

(a)

70.

<ABC and <CBD form a linear pair. If m<ABC= 12x-10 and m<CBD= 4x+30, what is the value of x

(a)

71.

Which of the following angles pairs are Same Side Interior Angles?

a)

<1 and <2

b)

<1 and <8

c)

<3 and <5

d)

<3 and <6

72.

Which of the following angles pairs are Corresponding Angles?

a)

<1 and <4

b)

<2 and <7

c)

<3 and <5

d)

<4 and <8

73.

Find the value of x.

(a)

74.

List the side measures in order, shortest to longest.

a)

QM, QP, MP

b)

MQ, MP, QP

c)

MP, MQ, QP

75.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

x > 8 and x < 15

b)

x > 7 and x < 23

c)

x < 7 and x > 23

76.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

x > 8 and x < 16

b)

x < 4 and x > 12

c)

x > 4 and x < 12

77.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

x > 8 and x < 16

b)

x < 4 and x > 12

c)

x > 4 and x < 12

78.

NAME the triangle - Select ALL correct options to get a mark

a)

ABC

b)

BAC

c)

CBA

d)

BCA

79.

State if the two triangles are congruent. If they are, state how you know

a)

AAS

b)

ASA

c)

Not congruent

80.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

81.

In a proof, we must first _______________________ before we can use CPCTC.

a)

make sure angles correspond

b)

color code corresponding parts

c)

fill all the reasons

d)

prove two triangles are congruent

82.

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

a)

A)

b)

B)

c)

C)

d)

D)

83.

In your answer, only write the number, do not include the unit

(a)

84.

In your answer, only write the number, do not include the unit

(a)

85.

Round to the nearest hundredth.

In your answer, only write the number, do not include the unit

(a)

86.

In your answer, only write the number, do not include the unit

(a)

87.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

88.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

89.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

90.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

91.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

92.

What side is the hypotenuse of the triangle?

a)

9

b)

40

c)

41

d)

none

93.

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

94.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

95.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

96.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

97.

What is the length of the hypotenuse?

a)

16

b)

30

c)

34

98.

What is the length of the side adjacent to ∠X?

a)

7

b)

24

c)

25

99.

cos______ = $\frac{40}{50}$

a)

A

b)

B

c)

C

100.

tan_____ = $\frac{30}{16}$

a)

X

b)

Y

c)

Z

101.

sin _____ = $\frac{16}{34}$

a)

X

b)

Y

c)

Z

102.

Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

103.

$\sqrt{2}$ write as ---> sqrt(2)

# 2, First page:

Solve for x
NOTE: For answers that have square root write sqrt(#).
Example shown above!

(a)

104.

# 2, First page:

Solve for y

(a)

105.

# 6, first page: Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

106.

# 6, First page:

Solve for y

(a)

107.

# 9, First page Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

108.

# 9, First page: Is this a pythagorean triple

a)

no

b)

yes

109.

# 10, First page Which should you use to solve the following problem

a)

Special Right Triangles

b)

Pythagorean Theorem

c)

Trig Functions

110.

$\sqrt{2}$ write as ---> sqrt(2)

# 6, First page:

Solve for x
NOTE: For answers that have square root write sqrt(#).
Example shown above!

(a)

111.

$\sqrt{2}$ write as ---> sqrt(2)

3\sqrt{5}

----> 3sqrt(5)

2nd page:

Solve for x
NOTE: For answers that have square root write sqrt(#).
Example shown above!

(a)

112.

$\sqrt{2}$ write as ---> sqrt(2)

3\sqrt{5}

----> 3sqrt(5)

2nd page:

Solve for x
NOTE: For answers that have square root write sqrt(#).
Example shown above!

Write as exact answer or round to nearest hundredth

(a)

113.

Acute, obtuse, or right triangle?

2nd page:

a)

Acute

b)

Obtuse

c)

Right

114.

$\sqrt{2}$ write as ---> sqrt(2)

3\sqrt{5}

----> 3sqrt(5)

2nd page:

Solve for y
NOTE: For answers that have square root write sqrt(#).
Example shown above!

(a)

115.

Round to nearest tenth:

3rd page:

(a)

116.

Round to nearest hundredth: (Do NOT include the unit)

3rd page:

(a)

117.

Round to nearest hundredth: (Do NOT include the unit)

3rd page:

(a)

118.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

119.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

120.

Solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

121.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

CBA 3 GEO 22-23

Total questions: 121

Worksheet time: 3hrs 15mins

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