Triangle Congruence Review

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are angles that are in the same relative position in two different triangles. If two triangles are congruent, their corresponding angles are equal.

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides are sides that are in the same relative position in two different triangles. If two triangles are congruent, their corresponding sides are equal in length.

Front

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

Back

To prove triangles are congruent using the ASA postulate, show that two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

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

Back

To prove triangles are congruent using the AAS postulate, show that two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What is the relationship between the angles in congruent triangles?

Back

In congruent triangles, all corresponding angles are equal.

Front

What is the relationship between the sides in congruent triangles?

Back

In congruent triangles, all corresponding sides are equal in length.