What is the Congruence of Triangles?

There are several criteria used to determine if two triangles are congruent:

SSS (Side-Side-Side) Congruence: If sides AB, BC, and AC, of one triangle, are just like sides AB, BC, and AC, of another triangle, then the triangles are congruent.

SAS (Side-Angle-Side) Congruence: If a given side and the included angle from the first triangle were equal to the other side and the included angle of another triangle, these triangles will be considered congruent.

ASA (Angle-Side-Angle) Congruence: When the special property of two angles and the side that is between them with one triangle is the same as that of the two angles and the side that is between them with the second triangle, then the triangles are congruent.

AAS (Angle-Angle-Side) Congruence: Suppose two pairs of angles and a non-included side of the first triangle are equal to two pairs of angles and a non-included side of the other triangle. Consequently, these triangles are congruent.

HL (Hypotenuse-Leg) Congruence: Since the hypotenuse and one leg of a triangle are equal to the other triangle’s hypotenuse and one leg, then the two triangles are congruent. This is also called RHS congruence rule.

Triangles are said to be congruent if they measure same in size. There are various ways to determine the congruency of two triangles. This article provides practice questions on the congruency of triangles. It also has practice questions to learn how to solve the questions.