1 Triangle Congruence Theorems

Front

What is the Angle-Side-Angle (ASA) Congruence Theorem?

Back

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 Angle-Angle-Side (AAS) Congruence Theorem?

Back

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 is the Side-Angle-Side (SAS) Congruence Theorem?

Back

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 Side-Side-Side (SSS) Congruence Theorem?

Back

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

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

In triangle ABC, if angle A is congruent to angle D, what can be said about triangles ABC and DEF?

Back

If the other corresponding sides and angles are also congruent, then triangles ABC and DEF are congruent.

Front

What is the definition of a congruent angle?

Back

Congruent angles are angles that have the same measure.

Front

What is the definition of a congruent side?

Back

Congruent sides are sides that have the same length.

Front

If triangle PQR has sides PQ = 5 cm, QR = 7 cm, and PR = 5 cm, what can be concluded about triangle PQR?

Back

Triangle PQR is isosceles because two sides are equal.

Front

What is the Congruence Postulate?

Back

The Congruence Postulate states that if two triangles are congruent, then all their corresponding sides and angles are also congruent.