Triangle Congruence Proofs

Front

What is the Definition of Angle Bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What is the statement for step 3 of a triangle congruence proof?

Back

∡AED≅∡BEC

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any quantity is equal to itself, i.e., a = a.

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Front

What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that 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

The ASA (Angle-Side-Angle) Congruence Postulate 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 AAS Congruence Theorem?

Back

The AAS (Angle-Angle-Side) Congruence Theorem states that 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 SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What are Vertical Angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.