Congruent Triangle Proofs

Front

What is the definition of congruent triangles?

Back

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

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the significance of the Side-Angle-Side (SAS) postulate?

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 Angle-Side-Angle (ASA) postulate?

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 Side-Side-Side (SSS) postulate?

Back

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) criterion?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar, but not necessarily congruent.

Front

What are vertical angles?

Back

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

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the definition of bisecting an angle?

Back

Dividing an angle into two equal angles.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same position on different parallel lines cut by a transversal; they are congruent.