Triangle Congruence Proofs

Front

What is ASA Congruence?

Back

ASA Congruence 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 two triangles are congruent.

Front

What is SSS Congruence?

Back

SSS Congruence 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 SAS Congruence?

Back

SAS Congruence 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 two triangles are congruent.

Front

What is AAS Congruence?

Back

AAS Congruence 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 two triangles are congruent.

Front

What is HL Congruence?

Back

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

Front

What is the Definition of Congruence?

Back

Congruence means that two figures have the same shape and size, and can be made to coincide by rigid motions such as translation, rotation, or reflection.

Front

What is CPCTC?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent', which is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the Definition of Equality?

Back

Equality means that two quantities are the same in value, size, or amount.

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 a Bisector?

Back

A bisector is a line, ray, or segment that divides another segment or angle into two equal parts.