Free Printable Triangle Congruence

1.

What postulate or theorem proves that $\Delta ALE\cong\Delta RTE$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

2.

What postulate or theorem proves that $\Delta ALT\cong\Delta RTL$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

3.

What triangle congruence postulate or theorem justifies the congruency of $\Delta RTO\ and\ \Delta BSO$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

4.

What triangle congruence postulate or theorem justifies the congruency of $\Delta IEL\cong\Delta EIF$ ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

5.

What parts of the triangles must be marked so that $\Delta HOE\ and\ \Delta POE$ are congruent via AAS Theorem?

a)

$\angle H\ and\ \angle P$

b)

$\angle HEO\ and\ \angle PEO$

c)

$\overline{HO}\ and\ \overline{PO}$

d)

$\overline{HE}\ and\ \overline{PE}$

6.

It states that the two triangles are congruent if the three sides of the triangle are congruent to the corresponding three sides of the other triangle.

a)

AAS Congruence Postulate

b)

ASA Congruence Postulate

c)

SAS Congruence Postulate

d)

SSS Congruence Postulate

7.

It states that the triangles are congruent if two sides and the included angle of the triangle are congruent to the corresponding two sides and the included angle of the other triangle.

a)

AAS Congruence Postulate

b)

ASA Congruence Postulate

c)

SAS Congruence Postulate

d)

SSS Congruence Postulate

8.

It states that the triangles are congruent if two angles and the included side are congruent to the corresponding two angles and the included side of the other triangle.

a)

AAS Congruence Postulate

b)

ASA Congruence Postulate

c)

SAS Congruence Postulate

d)

SSS Congruence Postulate

9.

Which triangle congruence postulate is shown?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

10.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

11.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

12.

Congruent by

a)

SSS

b)

not necessarily congruent

c)

ASA

d)

AAS

13.

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

a)

A)

b)

B)

c)

C)

d)

D)

14.

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

a)

A)

b)

B)

c)

C)

d)

D)

15.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

16.

What is the correct congruence statement for these congruent triangles?

a)

ΔRTS ≅ΔEFD

b)

ΔRTS ≅ΔFDE

c)

ΔRTS ≅ΔFED

d)

ΔRTS ≅ΔDEF

17.

What does CPCTC stand for?

a)

Corresponding Parts of Congruent Triangles are Congruent

b)

Congruent Parts of Congruent Triangles are Corresponding

c)

Corresponding Parts of Canadian Triangles are Cool

d)

Congruent Parts of Corresponding Parts are Corresponding

18.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

ASA

c)

SAS

d)

SSS

19.

If two angles and a non-included side of a triangle is congruent to two angles and a non-included side of another triangle, then the triangles are congruent by:

a)

CPCTC

b)

ASA

c)

SAS

d)

AAS

20.

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

a)

A

b)

B

c)

C

d)

D

21.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

22.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

23.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

24.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

25.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

26.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

27.

All sides from $\Delta ABC$ are congruent to all corresponding sides of $\Delta DEF$ . What triangle congruence can be used to prove that $\Delta ABC\cong\Delta DEF$ ?

a)

ASA

b)

AAA

c)

SSS

d)

SAS

28.

What property/theorem or postulate can be used to prove that $\overline{RN}\cong\ \overline{RN}$ ?

a)

Transitive

b)

Vertical angles

c)

Alternate interior angles

d)

Reflexive

29.

When two angles of a triangle and a non-included side is given, what postulate can be used to prove triangle congruence?

a)

SSA

b)

AAA

c)

ASA

d)

AAS

30.

Which of the following is a postulate use to prove a triangle congruence when the given is an included angle and two adjacent sides?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

31.

Which is not a postulate to prove triangle congruence?

a)

AAA

b)

ASA

c)

SSS

d)

SAS

32.

What do we call a group of triangles that are similar in figure and similar in terms of the measures of their corresponding interior angles and corresponding side?

a)

Similar triangles

b)

Equal triangles

c)

Same triangles

d)

Congruent triangles

33.

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)

34.

Which of the following is true by reflexive property?

a)

b)

c)

d)

35.

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

a)

yes, SAS

b)

not congruent

c)

yes, ASA

d)

yes, AAS

36.

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

a)

AAS

b)

SSS

c)

Not enough information given

d)

ASA

37.

Given: ∆MAN ≅∆DEN
∠MAN ↔ ___

a)

∠NED

b)

∠DEN

c)

∠END

d)

∠EDN

38.

∆ABC≅∆XYZ,
which is true?

a)

BC≅CB

b)

AB≅XY

c)

AB≅XZ

d)

AB≅YX

39.

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

40.

Solve for x:

a)

$x=34\degree$

b)

$x=98\degree$

c)

$x=48\degree$

d)

$x=7\degree$

Triangle Congruence

Total questions: 40

Worksheet time: 40mins

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