Free Printable Proving Triangles Congruent

1.

How many angles and how many sides are marked congruent?

a)

2 angles, 1 side

b)

0 angles, 3 sides

c)

1 angle, 2 sides

d)

3 angles, 0 sides

2.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

3.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

4.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

5.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

6.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

7.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

9.

What is the reason these triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

10.

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

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

11.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

12.

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

a)

SSS

b)

ASA

c)

AAS

d)

Not Possible

13.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

14.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

15.

State if the triangles are congruent and why.

a)

Not congruent

b)

SAS

c)

ASA

d)

HL

16.

State if the triangles are congruent and why.

a)

AAS

b)

SAS

c)

ASA

d)

Not congruent

17.

State if the triangles are congruent and why.

a)

SSS

b)

ASA

c)

AAS

d)

HL

18.

State if the triangles are congruent and why.

a)

Not congruent

b)

AAS

c)

SSS

d)

ASA

19.

State if the triangles are congruent and why.

a)

AAS

b)

ASA

c)

Not congruent

d)

SSS

20.

State if the triangles are congruent and why.

a)

ASA

b)

AAS

c)

SAS

d)

Not congruent

21.

State if the triangles are congruent and why.

a)

SAS

b)

AAS

c)

ASA

d)

Not congruent

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

a)

A

b)

B

c)

C

d)

D

32.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

33.

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

a)

yes, AAS

b)

yes, SAS

c)

yes, ASA

d)

no, not enough information

34.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

35.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

a)

yes, ASA

b)

yes, AAS

c)

yes, SAS

d)

Not congruent, not enough information.

36.

Including the Reflexive Property, which theorem proves the triangles are congruent.

a)

ASA

b)

SSS

c)

SAS

d)

AAS

37.

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and if so, why.

a)

yes by HL

b)

yes, by SAS

c)

No, not congruent there is no AAA theorem

d)

yes, by AAS

38.

Using the Reflexive Property, which theorem proves that the triangles are congruent.

a)

SAS

b)

AAS

c)

ASA

d)

HL

39.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not enough information

40.

∆ABC≅∆XYZ

which is true?

a)

AB≅XY

b)

AB≅YZ

c)

AB≅XZ

d)

BC≅AB

41.

∆EHG≅∆KFC

Which is a true statement?

a)

EH≅FC

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

42.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

43.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

44.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

45.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

46.

Given the two triangles, which congruence statement is NOT true?

a)

$AB\ \cong\ DF$

b)

$DE\ \cong\ AC$

c)

$\Delta\ ABC\ \cong\ \Delta DFE$

d)

$\Delta ABC\ \cong\Delta\ DEF$

47.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

48.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

49.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

50.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

51.

Fill in the missing pieces of the proof.

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)

52.

∆ABC ≅ ∆LMN. Which statement is NOT true?

a)

LM ≅ AB

b)

∆CAB ≅ ∆NLM

c)

∠C ≅ ∠N

d)

BC ≅ ML

53.

What is the answer of # 5

a)

<T≅<T

b)

<RTS≅<VTU

c)

SR≅UV

d)

Reflexive property

54.

Find the mistake in the given proof and correct it.

a)

Reason 5, SSS

b)

Statement 3, <Q≅<P

c)

Reason 3, Reflexive property

d)

Statement 4, Given

Proving Triangles Congruent

Total questions: 54

Worksheet time: 1hrs 29mins

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