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Triangle Congruence Theorems & Proofs

Total questions: 26

Worksheet time: 28mins

Name
Class
Date
1.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
2.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
4.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
5.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
Not enough information given
d)
ASA
6.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
ASA
c)
SSA
d)
AAA
7.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SAS
c)
AAS
d)
Not enough information
8.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
9.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
Not enough information
c)
SSS
d)
AAS
10.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
SAS
c)
AAS
d)

HL

11.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
AAS
c)
SAS
d)
AAA
12.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SSS
c)
SAS
d)
HL
13.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
Not enough information
b)
SAS
c)
SSA
d)
AAS
14.
Which of the following is NOT a triangle congruence theorem?
a)
HL
b)
SAS
c)
AAS
d)
AAA
15.
Which of the following ONLY proves congruence for right triangles?
a)
AAS
b)
HL
c)
SAS
d)
SSS
16.
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.
17.

What is statement #1?

a)
b)

Given

c)

BCADCE\angle BCA\cong\angle DCE

d)
18.

What is the reason for statement #1?

a)

Given

b)

KMMK\overline{KM}\cong\overline{MK}

c)

Definition of Congruent Segments

d)

Prove

19.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
20.

What is Reason C?

a)

Definition of Congruence

b)

Definition of Vertical Angles

c)

Reflexive Property

d)

Vertical Angle Theorem

21.

What is the reason for statement #2.

a)

Definition of midpoint

b)

Definition of congruent

c)

Definition of angle bisector

d)

Definition of segment bisector

22.

What is the reason for statement #3?

a)

SAS

b)

Prove

c)

SSA

d)

SSS

23.

What is the reason for statement #2?

a)

Definition of Segment Bisector

b)

Transitive Property

c)

Reflexive Property

d)

Definition of Midpoint

24.

What is Statement #4?

a)

△GHI ≅ △JKL

b)

△GHI ≅ △KLJ

c)

△GHI ≅ △LJK

d)

△GHI ≅ △LKJ

25.

What is the Reason for Statement #5?

a)
SAS
b)
Definition of Congruence
c)
Prove
d)
CPCTC
26.

What is Reason C?

a)

SSS Congruence

b)

SAS Congruence

c)

ASA Congruence

d)

AAS Congruence

e)

HL Congruence