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Proving Triangles Congruent

Total questions: 13

Worksheet time: 14mins

Name
Class
Date
1.

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

2.

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

3.
State if the triangles are congruent and why.
a)
AAS
b)
SAS
c)
ASA
d)
SSS
4.

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

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

5.
State if the triangles are congruent and why.
a)
Not congruent
b)
AAS
c)
SSS
d)
ASA
6.
State if the triangles are congruent and why.
a)
AAS
b)
ASA
c)
Not congruent
d)
SSS
7.

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.

8.

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

a)

ASA

b)

SSS

c)

SAS

d)

AAS

9.

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

10.

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

a)

SAS

b)

AAS

c)

ASA

d)

HL

11.

What additional information is needed to prove the triangles congruent by HL?

a)

A

b)

B

c)

C

d)

D

12.

What additional information is needed to prove the triangles congruent by SSS?

a)

A

b)

B

c)

C

d)

D

13.

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL