Free Printable Quiz 4-3 Review

1.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

2.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

3.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

4.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by AAS

e)

Not congruent

5.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

6.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by SSS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

7.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

8.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

9.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

10.

State what additional information is required in order to know that the triangles are congruent for the reason given.

a)

$RS\cong QS$

b)

$RS\cong QD$

c)

$\angle QRS\cong\angle QDS$

d)

$DS\cong SQ$

11.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

12.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

13.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

14.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

15.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

16.

What are the five ways to prove triangles are congruent? #4

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

17.

Which of the following cannot be used to prove triangles are congruent? #2

a)

HL

b)

AAA

c)

SSS

d)

SAS

18.

Which triangle congruence theorem can be used to prove the triangles are congruent? #1

a)

SAS

b)

SSA

c)

ASA

d)

AAS

19.

△TVX is equilateral. Complete the proof that △VWX≅△VUT. #14

a)

AAS

b)

ASA

c)

CPCTC

d)

Definition of Congruence

20.

Congruent figures... #15

a)

Have the same dimensions (side lengths and angle measures)

b)

Are the same shape and size

c)

Can be mapped onto one another using rigid motions

d)

All of the above

21.

Name the theorem that proves these triangles are congruent. #16

a)

SAS

b)

SSA

c)

ASA

d)

Not Possible

22.

The two triangles are congruent. Find the value of c.

(Diagrams are not to scale.) #19

a)

4

b)

5

c)

3

d)

38

23.

How are the two triangles congruent? #22

a)

A

b)

B

c)

C

d)

D

24.

#23

a)

A

b)

B

c)

C

d)

D

25.

What is the correct choice for Reason 3? #24

a)

Vertical Angles are Congruent

b)

Definition of Congruence

c)

Given

d)

Reflexive Property

26.

Why is ΔAEB ≅ ΔCED? #26

a)

SAS

b)

ASA

c)

AAS

d)

SSS

27.

Name the theorem or postulate, if possible, that makes the triangles congruent. #5

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

28.

State if the triangles are congruent and why. #6

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

29.

For the triangles to be congruent by HL, what must be the value of x? #7

a)

2

b)

3

c)

4

d)

7

30.

What is reason #4? #9

a)

ASA

b)

SAS

c)

HL

d)

AAS

31.

Which triangle congruence theorem proves that triangle PRS is congruent to triangle QRS? #17

a)

HL

b)

SAS

c)

SSA

d)

AAS

32.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

33.

State if the triangles are congruent or not. If they are, state how you know.

a)

Yes - by AAS

b)

Yes - by ASA

c)

Yes - by HL

d)

Yes - by SAS

e)

Not congruent

34.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

35.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

36.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

37.

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

a)

SAS

b)

SSS

c)

ASA

d)

HL

38.

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

a)

SSS

b)

ASA

c)

AAS

d)

SAS

39.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

40.

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

a)

AAS

b)

SSS

c)

SAS

d)

SSA

41.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

42.

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

a)

SSS

b)

SAS

c)

ASA

d)

NONE

43.

a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

44.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

45.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

46.

Identify the correct triangle congruence theorem.

a)

ASA

b)

AAS

47.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

48.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

49.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

50.

a)

SAS

b)

None

c)

SSS

d)

ASA

51.

Which is NOT a shortcut to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

52.

Fill in the blank.

a)

Given

b)

Reflexive Property

c)

Transitive Property

d)

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

53.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

54.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

55.

If ΔABC ≅ ΔXYZ, which statement is always true?

a)

AB = YZ

b)

∠C ≅ ∠Z

c)

∠B ≅ ∠C

d)

AC = XY

56.

What congruency postulate proves the triangles congruency?

a)

SAS

b)

ASA

c)

SSS

d)

HL

57.

What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?

a)

ASA

b)

SAS

c)

SSS

d)

HL

58.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

59.

What is the reason?

a)

Definition of Angle

b)

Definition of Congruence

c)

Definition of bisects

d)

Definition of midpoint

60.

When does one use CPCTC?

a)

Before triangles are congruent

b)

After triangles are congruent

c)

Whenever one wants, there are no restrictions

d)

There is no such thing as CPCTC

61.

What is the correct choice for Statement 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

62.

What is the correct choice for Reason 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

CPCTC

63.

What is the reason?

a)

Definition of Angle

b)

Definition of Congruence

c)

Definition of bisects

d)

Definition of midpoint

64.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

65.

Find the measure of the exterior angle.

a)

12

b)

76

c)

128

d)

180

66.

When do you use "CPCTC in a proof?

a)

ALWAYS at the beginning

b)

ALWAYS at the end

c)

It's optional

d)

NEver

67.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

68.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

69.

In a geometric proof, reasons on the _____ side

a)

Left

b)

Right

c)

transative

d)

POE

70.

In a geometric proof, statements go on the ____ side

a)

left

b)

right

c)

transative

d)

POE

71.

If B is the midpoint of $\overline{AC}$ , then $\overline{AB}\cong\overline{BC}$

a)

Definition of midpoint

b)

Definition of angle bisector

c)

Definition of segment bisector

d)

Definition of perpendicular lines

72.

If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50

a)

Transitive property

b)

Substitution

c)

Definition of angle bisector

d)

Subtraction POE

73.

The symbol $\cong$ means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

74.

When writing a proof start with ......

a)

The given

b)

Transative property

c)

Supplementary angles

d)

Subtraction POE

75.

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

a)

Substitution

b)

Commutative

c)

Reflexive

d)

CPCTC

76.

In the given proof, what is the reason for step 2?

a)

Alternate Exterior Angle are Congruent

b)

Reflexive Property of Congruence

c)

Angles that form a linear pair are supplementary.

d)

Alternate Interior Angles are Congruent.

77.

What does it mean to bisect a segment or an angle?

a)

Split it into 3 equal parts.

b)

Split it into 2 equal parts.

c)

Split into 4 equal parts.

d)

Double it.

78.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

79.

Are these two lines parallel, perpendicular or neither?

y = -1/3x - 5

y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

80.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

81.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

82.

$\overline{PJ}\ \cong\ \overline{LR}$

Prove that $\overline{PR}\ \cong\ \overline{LJ}$

Select the first statement and reason when writing the proof.

a)

Statement: $\overline{PJ}\ \cong\overline{LR}$

Reason:

Given

b)

Statement: $\overline{PR}\ \cong\overline{LJ}$

Reason:

Given

83.

$\overline{PJ}\ \cong\overline{LR}\ ,\$ Prove that $\overline{PR}\ \cong\ \overline{LJ}$

a)

$\overline{PJ}\ \cong\overline{LR}$

1.

Given

b)

$\overline{PJ}\ =\overline{LR}$

2.

If two segments are congruent, they are equal in length.

c)

$\overline{JR}\ =\overline{JR}$

3.

Reflexive Property

d)

PJ + JR = LR + JR

4.

Addition property.

e)

PR = LR

5.

Substitution property.

84.

m $\angle$ RST = m $\angle$ WTS

$\overline{PS}\ Bi\sec ts\ \angle\ RST$

$\overline{PT}\ Bi\sec ts\ \angle\ WTS$

Prove that m $\angle\ 1\ =\ m\ \angle\ 2$

a)

m $\angle$ RST = m $\angle$ WTS

1.

1. Given

b)

PS bisects $\angle$ RST

PT bisects $\angle$ WTS

2.

2. Given

c)

$m\ \angle\ 1\ =\ \frac{1}{2}\ of\ m\ \angle\ RST$ $m\ \angle\ 2\ =\ \frac{1}{2}\ of\ m\ \angle\ WTS$

3.

Definition of Angle Bisector

d)

$m\ \angle\ 1\ =\ m\ \angle\ 2$

4.

Halves of equals are equal.

85.

What is statement #1?

a)

BC≅DC

b)

AC≅EC

c)

BC≅DC, AC≅EC

d)

∆BCA≅∆DCE

86.

What is statement #2?

a)

∠ABC≅∠EDC

b)

∠BCA≅∠DCE

c)

BC≅CD

d)

∠E≅∠A

87.

What is reason #3?

a)

SAS

b)

ASA

c)

SSS

d)

AAS

88.

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

a)

HA=HA

b)

HA=AH

c)

MA=AM

d)

MA=MA

89.

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

a)

Prove

b)

Given

c)

Reason

d)

Statement

90.

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

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

91.

Determine if the triangles are congruent, if "yes" state the theorem.

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

92.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

93.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

WU

c)

VU

d)

WB

94.

What is #4 Statement?

a)

∠MNL ≌ ∠ONP

b)

MN ≌ ON

c)

N ≌ N

d)

MO ≌ OM

95.

What is #3 Reason?

a)

Same Line

b)

Perpendicular Lines

c)

Segment Bisector

d)

Reflexive Property

96.

What is #3 Reason?

a)

Alternate Exterior Angles

b)

Alternate Interior Angles

c)

Vertical Angles

d)

Angle Bisector

97.

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

a)

$\angle GEQ\cong\angle NEW$ Vertical

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle G\cong\angle N$ ; Alternate Interior

d)

$\angle W\cong\angle Q$ ; Alternate Interior

98.

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

a)

A

b)

B

c)

C

d)

D

99.

What is the "statement" for step 2 of the proof?

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

100.

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

a)

AD=DA

b)

AN = AH

c)

HD=ND

d)

HD=DN

101.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

102.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

103.

What triangle congruence criteria is shown in the given diagram?

a)

ASA

b)

AAS

c)

SSA

d)

HL

104.

A triangle with two congruent sides and two congruent angles (base angles) is called ...

a)

scalene

b)

equilateral

c)

isosceles

d)

obtuse

105.

Give the Reason for #1.

a)

Given

b)

Segment Addition Property

c)

Addition Property of Equality

d)

PQ + QR = PR

e)

Transitive Property of Equality

106.

If AB=BC and BC=CE then AB=CE.

a)

Transitive Property of Equality

b)

Segment Addition Postulate

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

107.

What is the correct reason for

Reason #3?

a)

Definition of a Straight Angle

b)

Prove

c)

Definition of a Supplementary Angles

d)

Transitive Property

108.

Name the property of equality or congruence that justifies this statement.

If\ \overline{RS}\cong\overline{TW}\ and\ \overline{TW}\cong\overline{PQ},\ then\ \overline{RS}\cong\overline{PQ}

a)

Symmetric

b)

Transitive

c)

Substitution

d)

Reflexive

109.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Definition of Supplementary Angles

110.

AB = AB

a)

Reflexive Property

b)

Transitive Property

c)

Symmetric Property

d)

Congruent Line Segment Property

111.

If M is the midpoint of AB, then AM = MB

a)

Addition Property of Equality

b)

Definition of Midpoint

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

112.

When starting a proof you always start with:

a)

Given information

b)

What it wants you to prove

c)

Equal Angles

d)

Linear Angles

113.

What is the missing statement in the proof?

a)

Addition Property of Equality

b)

Segment Addition Postulate

c)

Substitution Property of Equality

d)

Transitive Property

114.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

115.

Given that angles A and B form a linear pair what is the next step we can conclude by definition of a linear pair?

a)

Angle A + Angle B = 90

b)

A and B are both acute angles

c)

Angle A + Angle B = 180

d)

Angle A and Angle B are both obtuse angles

116.

A rule that is accepted without proof

a)

postulate

b)

theorem

c)

proof

d)

conditional statement

117.

A mathematical statement that requires proof is a

a)

theorem

b)

postulate

c)

definition

d)

conjecture

Quiz 4-3 Review

Total questions: 117

Worksheet time: 29hrs 15mins

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