Triangle Congruence Theorems

Front

What is the definition of congruent triangles?

Back

Triangles that have the same shape and size, meaning their corresponding sides and angles are equal.

Front

What does the Reflexive Property of Equality state?

Back

A side or angle is congruent to itself.

Front

What is the purpose of the Triangle Congruence Theorems?

Back

To determine if two triangles are congruent based on their sides and angles.

Front

What does the SSS Congruence Theorem state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS Congruence Theorem state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the ASA Congruence Theorem state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the AAS Congruence Theorem state?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of vertical angles?

Back

Angles that are opposite each other when two lines intersect; they are always congruent.

Front

How can you identify congruent angles in a triangle?

Back

By using the properties of triangle congruence theorems and corresponding parts.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal in measure.