Triangle Congruence Statements

Front

What is a triangle congruence statement?

Back

A triangle congruence statement indicates that two triangles are congruent, meaning they have the same size and shape.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle is also congruent, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that 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 is the Side-Side-Side (SSS) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

How do you identify corresponding sides in congruent triangles?

Back

Corresponding sides in congruent triangles are the sides that are opposite to the corresponding angles.

Front

If ∆ABC ≅ ∆LMN, what can we say about ∠A and ∠L?

Back

∠A ≅ ∠L because they are corresponding angles in congruent triangles.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same size and shape; their corresponding sides and angles are not equal.