Triangle Congruence Practice Problems

Question 1

In $	riangle ABC$ and $	riangle DEF$, you are told $AB=DE$, $BC=EF$, and $AC=DF$. Which congruence criterion proves the triangles are congruent?

Accepted Answer

SSS

Answer

SAS

Answer

ASA

Answer

SSA

Question 2

Suppose $	riangle PQR \cong 	riangle STU$. Which statement must be true by CPCTC?

Accepted Answer

$QR = TU$

Answer

$\angle Q = \angle U$

Answer

$\angle P = \angle T$

Answer

$PR = ST$

Question 3

Two triangles have $AB=DE$, $BC=EF$, and $\angle A = \angle D$ (the angle is **not** between the given sides). What is the most accurate conclusion?

Accepted Answer

The triangles might be congruent, but the information is not sufficient (SSA ambiguous case).

Answer

The triangles are congruent by SSA.

Answer

The triangles are congruent by SAS.

Answer

The triangles are congruent by AAS.

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