4-6 Definition of Congruent Triangles (CPCTC)

Front

What are 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

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding parts of triangles are equal after establishing triangle congruence.

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 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 AAS Congruence Postulate?

Back

The AAS (Angle-Angle-Side) Congruence Postulate 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 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 Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, side FH is congruent to side FH.

Front

What is the definition of an angle bisector?

Back

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

Front

What is the Angle Bisector Conjecture?

Back

The Angle Bisector Conjecture states that if a point lies on the angle bisector of an angle, then it is equidistant from the sides of the angle.

Front

What is the Vertical Angles Conjecture?

Back

The Vertical Angles Conjecture states that when two lines intersect, the opposite (or vertical) angles are congruent.