Quiz about Applying Properties of Congruence Triangle

Question 1

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

Accepted Answer

AAA Congruence Postulate

Answer

AAS Congruence Postulate

Answer

SSS Congruence Postulate

Answer

SAS Congruence Postulate

Question 2

What triangle congruence is shown in the figure?

Accepted Answer

SAS Congruence Postulate

Answer

AAS Congruence Postulate

Answer

SSS Congruence Postulate

Answer

AAA Congruence Postulate

Question 3

$$∠BEA\ and\ ∠DFC$$ 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?

Accepted Answer

$$∠FAD\ and\ ∠ECB$$

Answer

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

Answer

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

Answer

$$∠DCA\ and\ ∠BAC$$

Question 4

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

Accepted Answer

SSS Congruence Postulate

Answer

SAS Congruence Postulate

Answer

AAS Congruence Postulate

Answer

ASA Congruence Postulate

Question 5

$$∠BEA\ and\ ∠DFC$$ 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?

Accepted Answer

$$∠ABE\ and\ ∠CDF$$

Answer

$$∠DCF\ and\ ∠AEB$$

Answer

$$∠FAD\ and\ ∠ECB$$

Answer

$$∠FDA\ and\ ∠EBC$$

Question 6

Which postulate can be used to prove the triangles congruent?

Accepted Answer

ASA Congruence Postulate

Answer

SSS Congruence Postulate

Answer

SAS Congruence Postulate

Answer

AAS Congruence Theorem

Question 7

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

Accepted Answer

6 units

Answer

2 units

Answer

3 units

Answer

4 units

Applying Properties of Congruence Triangle

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