Free Printable Applying Properties of Congruence Triangle

1.

Which of the following cannot be used to prove that two triangles are congruent?

a)

AAS Congruence Postulate

b)

SSS Congruence Postulate

c)

SAS Congruence Postulate

d)

AAA Congruence Postulate

2.

What triangle congruence is shown in the figure?

a)

AAS Congruence Postulate

b)

SSS Congruence Postulate

c)

SAS Congruence Postulate

d)

AAA Congruence Postulate

3.

Given that ∠BEA dfc are right angles and ae gcf what theorem or postulate guarantees that ∆AEB≅∆CFD?

a)

ASA Postulate

b)

HA Theorem

c)

HL Theorem

d)

SAS Postulate

4.

$∠BEA\ and\ ∠DFC$ are right angles. To establish congruence between $∆EBC\ and\ ∆FDA$ using HA Theorem, which pair of corresponding parts do you need to show as congruent?

a)

$\overline{BE}\ and\ \overline{FD}$

b)

$\overline{FA}\ and\ \overline{EC}$

c)

$∠DCA\ and\ ∠BAC$

d)

$∠FAD\ and\ ∠ECB$

5.

Given that $∠BEA\ and\ ∠DFC$ are right angles. What postulate guarantees that $∆BAC≅∆DCA$ ?

a)

SAS Congruence Postulate

b)

AAS Congruence Postulate

c)

ASA Congruence Postulate

d)

SSS Congruence Postulate

6.

$∠BEA\ and\ ∠DFC$ are right angles. Which pair of corresponding parts do you still need to show as congruent to establish congruent between $∆BEA≅∆DFC$ using AAS Postulate?

a)

$∠ABE\ and\ ∠CDF$

b)

$∠DCF\ and\ ∠AEB$

c)

$∠FAD\ and\ ∠ECB$

d)

$∠FDA\ and\ ∠EBC$

7.

Given that ∠BEA and ∠DFC are right angles. Suppose that ∆AFD≅∆CEB, which statement justifies that overline{AF}≅overline{CE}?

a)

CPCTC

b)

Def. of Angle Bisector

c)

Isosceles Triangle Theorem

d)

Reflexive Property

8.

The figure below shows ΔABC $\cong$ ΔDEF, what is the value of x?

a)

45⁰

b)

60⁰

c)

75⁰

d)

30⁰

9.

Which postulate can be used to prove the triangles congruent?

a)

ASA Congruence Postulate

b)

SSS Congruence Postulate

c)

SAS Congruence Postulate

d)

AAS Congruence Theorem

10.

Given the figure below, what is the length of side BC?

a)

2 units

b)

3 units

c)

4 units

d)

6 units

Applying Properties of Congruence Triangle

Total questions: 10

Worksheet time: 10mins

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