Triangle Congruence Proofs

Front

What is AAS Congruence?

Back

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

Front

What is SSS Congruence?

Back

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

Front

What is SAS Congruence?

Back

SAS Congruence 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 ASA Congruence?

Back

ASA Congruence 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 HL Congruence?

Back

HL Congruence applies to right triangles and states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used after proving triangles are congruent to show that their corresponding parts are also congruent.

Front

What is the Definition of Congruence?

Back

Congruence means that two figures have the same shape and size, or that they can be made to coincide by rigid motions.

Front

What is the Definition of Midpoint?

Back

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

Front

What is the Definition of Perpendicular?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the Definition of Right Angles?

Back

Right angles are angles that measure exactly 90 degrees.