Congruent Triangles Review

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate used to prove that two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆RQP, what can we conclude about their corresponding parts?

Back

If ∆ABC is congruent to ∆RQP, then their corresponding sides and angles are equal: AB = RQ, BC = QP, AC = RP, and ∠A = ∠R, ∠B = ∠Q, ∠C = ∠P.

Front

What is the SSS postulate?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the SAS postulate?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA postulate?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS postulate?

Back

The AAS (Angle-Angle-Side) postulate states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

If AB ≅ XY, what does this mean?

Back

It means that the length of segment AB is equal to the length of segment XY.

Front

How can you prove that two triangles are congruent using the SSS postulate?

Back

To prove two triangles are congruent using the SSS postulate, show that all three sides of one triangle are equal to the three sides of the other triangle.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

In congruent triangles, corresponding angles are equal.