﻿ Definition of Congruent Triangles | Define Congruent Triangles - Geometry - Free Math Dictionary Online

# Congruent Triangles

## Definition of Congruent Triangles

Two triangles are said to be congruent if their corresponding sides and angles are equal.

• The following congruency tests are used to check the congruency of two triangles:
• SAS Congruency Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
• SSS Congruency Postulate: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
• ASA Congruency Postulate: If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the two triangles are congruent.
• SAA Congruency Postulate: If two angles and the non-included side of one triangle is congruent to two angles and the non-included side of another triangle, then the two triangles are congruent.

### Example of Congruent Triangles

• Since all the sides and angles of the triangles ABC and MPN are equal, so triangle ABC is congruent to triangle MPN.

A. 3 in.
B. 4 in.
C. 6 in.
D. 5 in.