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Triangle Congruence Postulates and Theorems

Total questions: 16

Worksheet time: 5mins

Name
Class
Date
1.

Which of the following is INCORRECT about a HYPOTENUSE?

a)

It is the longest side of a right triangle.

b)

A triangle has only one hypotenuse.

c)

It is the right angle of a right triangle.

d)

It is the opposite side of the right angle of a right triangle.

2.

Given a right triangle, name the hypotenuse.

a)

CB

b)

AC

c)

AB

d)

CA

3.

Which side of the triangle is the hypotenuse?

a)

QP

b)

QR

c)

RP

4.
Which triangle congruence postulate is shown?
a)
SAS
b)
ASA
c)
SSS
d)
SSA
5.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Congruent by
a)
SSS
b)
not necessarily congruent
c)
ASA
d)
AAS
7.

Which triangle congruence postulate is illustrated?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not a postulate

8.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
What additional information is required to prove the 2 triangles are congruent by HL
a)
A)
b)
B)
c)
C)
d)
D)
10.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
11.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL

12.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL

13.

State the theorem use to prove the given figure.

a)

Hypotenuse-Leg Theorem

b)

Leg-Leg Theorem

c)

Leg-Acute angle Theorem

d)

Hypotenuse-Acute angle Theorem

14.

What additional information do you need to prove that the given figure is congruent by HL Theorem

a)

IP  PA\overline{IP\ }\cong\ \overline{PA}

b)

DI  DA\overline{DI\ }\cong\ \overline{DA}

c)

A I\angle A\ \cong\angle I

d)

PD\angle P\cong\angle D

15.

Which congruence theorems would show that the two right triangles are congruent?

a)

LA

b)

LL

c)

HA

d)

HL

16.

What is the theorem that justifies the congruence of the two right triangles?

a)

HL

b)

HA

c)

LA

d)

LL