triangle congruence proofs1

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are congruent if their corresponding sides and angles are equal.

Front

What does CPCTC stand for in triangle proofs?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to conclude that corresponding parts of congruent triangles are equal.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Congruence Postulate states that 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 is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate states that 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 is the Angle-Angle-Side (AAS) Congruence Theorem?

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

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.

Front

What is the Reflexive Property of Congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the definition of vertical angles?

Back

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