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Triangle Congruence Quiz

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

What triangle congruence postulate states that 'If the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent'?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

2.

Which triangle congruence postulate states that 'If the two angles and the included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent'?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

3.

In triangle ∆ABC, what is the included angle between sides AB and AC?

a)

∠B

b)

∠A

c)

∠C

d)

∠ABC

4.

Given triangle ∆XYZ, what is the included side between angles X and Y?

a)

YX

b)

XZ

c)

YZ

d)

XY

5.

Which of the following illustrates the SAS congruence postulate?

a)

Two angles and a non-included side

b)

Two sides and an included angle

c)

Three sides

d)

Two angles and a side

6.

What is the minimum requirement needed to prove triangle congruence using the SSS postulate?

a)

Two angles and a side

b)

One angle and two sides

c)

Three sides

d)

Two sides and an angle

7.

If ∠A ≅ ∠D and ∠B ≅ ∠E, which postulate can be used to prove that triangles ∆ABC and ∆DEF are congruent?

a)

ASA

b)

SSS

c)

AAS

d)

SAS

8.

What is the included angle between sides AB and BC in triangle ∆ABC?

a)

∠A

b)

∠C

c)

∠ABC

d)

∠B

9.

Which triangle congruence postulate requires two sides and the included angle?

a)

SAS

b)

ASA

c)

AAS

d)

SSS

10.

In triangle ∆PQR, if PQ ≅ ST and QR ≅ TU, which additional information is needed to prove ∆PQR ≅ ∆STU by SAS?

a)

Angle P

b)

Angle Q

c)

Side PR

d)

Angle R

11.

What is the included side between angles A and C in triangle ∆ABC?

a)

AB

b)

AC

c)

BC

d)

CA

12.

If two triangles have two pairs of congruent angles, which postulate can be used to prove their congruence?

a)

SSS

b)

SAS

c)

AAS

d)

ASA

13.

Which of the following statements is true regarding triangle congruence?

a)

At least three corresponding parts must be congruent

b)

All sides must be congruent

c)

All angles must be congruent

d)

At least one pair of sides must be congruent

14.

What is the included angle between sides XY and YZ in triangle ∆XYZ?

a)

∠X

b)

∠Y

c)

∠Z

d)

∠XYZ