Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence stating 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, the triangles are congruent.

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How can you prove triangles are congruent using the SSS criterion?

Back

To prove triangles are congruent using SSS, show that all three pairs of corresponding sides are equal in length.

Front

How can you prove triangles are congruent using the SAS criterion?

Back

To prove triangles are congruent using SAS, show that two pairs of corresponding sides and the included angle are equal.

Front

How can you prove triangles are congruent using the ASA criterion?

Back

To prove triangles are congruent using ASA, show that two pairs of corresponding angles and the included side are equal.

Front

How can you prove triangles are congruent using the AAS criterion?

Back

To prove triangles are congruent using AAS, show that two pairs of corresponding angles and a non-included side are equal.