Triangle Congruence Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if triangle ABC is considered, then AB ≅ AB.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to conclude that if two triangles are proven to be congruent, then their corresponding parts are also congruent.

Front

What is the Vertical Angles Theorem?

Back

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

Front

What is the definition of congruence in geometry?

Back

In geometry, congruence means that two figures have the same shape and size. Congruent figures can be transformed into one another through rotations, translations, or reflections.

Front

What is the definition of a midpoint?

Back

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

Front

What is the definition of an angle bisector?

Back

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

Front

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

Back

The SAS Congruence Postulate states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle is also congruent, 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 congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

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

Back

The SSS Congruence Postulate states that 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 definition of corresponding parts in triangles?

Back

Corresponding parts in triangles refer to the sides and angles that are in the same relative position in two congruent triangles.