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Triangle Congruence Test

Total questions: 40

Worksheet time: 40mins

Name
Class
Date
1.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

e)

SSA

2.

Name the postulate, if possible, that makes triangles AED and CEB congruent.

a)

AAS

b)

SAS

c)

HL

d)

Not enough information

e)

SSA

3.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information

4.

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

a)

HL

b)

AAA

c)

SSS

d)

SAS

e)

SSA

5.

What information is missing to determine if the triangles are congruent by HL?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠W

c)

GI ≅ XV

d)

GH ≅ XW

e)

IH ≅ WV

6.

What information is missing to determine if the triangles are congruent by SAS?

a)

CA≅ NL

b)

∠C ≅ ∠N

c)

∠A ≅ ∠L

d)

∠B ≅ ∠M

e)

not enough information

7.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

e)

HL

8.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

e)

Not enough information

9.

IF THESE TRIANGLES ARE CONGRUENT,

WHAT THEOREM PROVES THIS?

a)

SSS

b)

SAS

c)

ASA

d)

SSA

e)

HL

10.

IF THESE TRIANGLES ARE CONGRUENT,

WHAT THEOREM PROVES THIS?

a)

SSA

b)

SAS

c)

ASA

d)

AAS

e)

Not enough information

11.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

e)

Not enough information

12.

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

a)

WV

b)

WU

c)

VU

d)

WB

e)

Not enough information

13.

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

d)

Congruent Parts of Congruent Triangles are Congruent

e)

Corresponding Parts of Congruent Triangles are Corresponding

14.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

e)

Reflexive Property, SSS(Side-Angle-Side)

15.

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

a)

AD=AD

b)

AD=DA

c)

HD=DN

d)

HA = AN

e)

AH=NA

16.

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

e)

AAA, AAS, ASA, ASA, SAA

17.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

e)

Not enough information

18.

Use the congruency statement to answer the following:

<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

e)

<E

19.

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

e)

Yes by SAS

20.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

e)

Yes, by ASA

21.

What is the reason?

a)

Definition of Angle

b)

Definition of Congruence

c)

Definition of bisects

d)

Definition of midpoint

e)

Vertical Angles

22.

Which is NOT a test to prove triangles congruent?

a)

AAS

b)

SSS

c)

SSA

d)

SAS

e)

ASA

23.

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

a)

AAA

b)

AAS

c)

ASA

d)

Not necessarily congruent

e)

SAS

24.

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

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

e)

HL

25.

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

a)

SAS

b)

SSS

c)

Both SSS and SAS

d)

Not necessarily congruent

e)

HL

26.

Congruent by

a)

SSA

b)

Not Congruent

c)

ASA

d)

SAS

e)

HL

27.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not Congruent

28.

How are these two triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

e)

HL

29.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not Enough Information

30.

How are these triangles congruent?

a)

AAS

b)

ASA

c)

SAS

d)

Not enough information

e)

AAA

31.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

e)

AAA

32.

How are these triangles congruent?

a)

AAA

b)

Not enough information

c)

ASA

d)

HL

e)

AAS

33.

How are these two triangles congruent?

a)

Not enough information

b)

SAS

c)

ASA

d)

SSA

e)

AAS

34.

How are these two triangles congruent?

a)

Not enough information

b)

SAS

c)

ASA

d)

SSA

e)

HL

35.

The triangles are congruent. Which of the following statements must be true?

a)

∠A ≅ ∠D

b)

∠B ≅ ∠E

c)

AB ≅ DE

d)

BC ≅ FD

e)

∠C ≅ ∠F

36.

∆EHG≅∆KFC

Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

e)

∠G≅∠F

37.

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

a)

FS

b)

SR

c)

RF

d)

DF

e)

ED

38.
a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Angle-Side-Side

d)

Angle-Angle-Side

e)

Hypotenuse-Leg

39.

Choose all the sets of triangles are congruent

a)
b)
c)
d)
e)
40.

Choose all the statements that would prove the two triangles congruent

a)

U is the midpoint of segment XV

b)

U is the midpoint of segment YW

c)

Segment XY is congruent to segment WV

d)

Angle X is congruent to angle V

e)

Angle Y is congruent to angle W

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