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Triangle Congruency Theorems Quiz

Total questions: 41

Worksheet time: 53mins

Name
Class
Date
1.

Which theorem states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent?

a)

ASA (Angle-Side-Angle) Congruence Theorem

b)

SSS (Side-Side-Side) Congruence Theorem

c)

SAS (Side-Angle-Side) Congruence Theorem

d)

AAA (Angle-Angle-Angle) Congruence Theorem

2.

In the SAS Congruence Theorem, what does the 'SAS' stand for?

a)

Side-Angle-Side

b)

Side-Angle-Angle

c)

Angle-Side-Angle

d)

Side-Side-Side

3.

What is the name of the theorem that states if the hypotenuse and one leg of a right-angled triangle are congruent to the hypotenuse and one leg of another right-angled triangle, then the two triangles are congruent?

a)

SAS Congruence Theorem

b)

SSS Congruence Theorem

c)

HL Congruence Theorem

d)

AAA Congruence Theorem

4.

What does 'ASA' stand for in the ASA Congruence Theorem?

a)

Area-Side-Angle

b)

Angle-Side-Angle

c)

Angle-Side-Side

d)

Angle-Side-Adjacent

5.

In the AAS Congruence Theorem, what does the 'AAS' stand for?

a)

Angle-Side-Side

b)

Angle-Angle-Side

c)

Side-Side-Side

d)

Angle-Angle-Angle

6.

Which theorem states that if two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent?

a)

Angle-Angle-Side (AAS) congruence theorem

b)

Hypotenuse-Leg (HL) congruence theorem

c)

Angle-Side-Angle (ASA) congruence theorem

d)

Side-Angle-Side (SAS) congruence theorem

7.

True or False: AAA is a valid congruence theorem for proving triangle congruence.

a)

False

b)

AAA is only used for proving quadrilateral congruence

c)

True

d)

AAA is not a valid theorem in geometry

8.

In the SAA congruence theorem, what does the 'SAA' stand for?

a)

Side-Side-Angle

b)

Angle-Angle-Side

c)

Side-Angle-Angle

d)

Side-Angle-Side

9.

What is the name of the theorem that states if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent?

a)

SAS theorem

b)

SSS theorem

c)

AAS theorem

d)

ASA theorem

10.

True or False: SSS, SAS, and ASA are all valid methods for proving triangle congruence.

a)

SSA

b)

True

c)

False

d)

AAS

11.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
12.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
13.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
14.
Which of the following is NOT a triangle congruence theorem?
a)
HL
b)
SAS
c)
AAS
d)
AAA
15.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)

HL

c)
SSA
d)
AAA
16.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SSS
c)
SAS
d)
HL
17.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
Not enough information
b)
SAS
c)
SSA
d)
AAS
18.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
SAS
c)
AAS
d)
ASA
19.

Which of the following proves congruence ONLY for right triangles?

a)
AAS
b)
HL
c)
SAS
d)
SSS
20.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SAS
c)

SSS

d)
Not enough information
21.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
22.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
23.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)

HL

b)
AAS
c)
SAS
d)
AAA
24.
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
25.
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
26.

The triangles are congruent by. (a)  

27.

The triangles are congruent by (a)   .

28.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
29.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
30.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
31.

The triangles are congruent by (a)   .

32.

State if the theorem you would use to determine that the two triangles are congruent. 

a)

SAS

b)

SSS

c)

HL

d)

AAS

33.
a)

Congruent by ASA

b)

Congruent by SAS

c)

Congruent by SSS

d)

Congruent by AAS

34.

Name the postulate that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

35.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
36.
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
37.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
39.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
40.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
41.
What does the word congruent mean? 
a)
Figures or angles that are similar to one another.
b)
Figures or angles that are exactly the same size and shape.
c)
A figure or angle that is equal in size to another figure or angle.
d)
A figure or angle that is equal in shape to another figure or angle.

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