Triangle Congruence Proofs

Front

What is the definition of Triangle Congruence?

Back

Two triangles are congruent if they 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 Reflexive Property?

Back

For any geometric figure, it is congruent to itself. For example, segment AB is congruent to segment AB.

Front

What is the Definition of Midpoint?

Back

A midpoint of a segment is the point that divides the segment into two equal parts.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are congruent; if two angles are opposite each other when two lines intersect, they are equal.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the Angle Bisector Definition?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the SSS Congruence Postulate?

Back

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

Front

What is the SAS Congruence 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 ASA Congruence 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.