# Conditions for the Congruence of Triangles

The conditions for the congruence of triangles are defined by three angles and three sides i.e. the six measuring parts. But out of these if three are properly satisfied, then automatically the other three are also satisfied. There are four such cases known as axioms for congruency.

To tell that the triangles are congruent if:

SSS (Side Side Side postulate) congruent triangles condition

SAS (Side Angle Side postulate) congruent triangles condition

ASA (Angle Side Angle postulate) congruent triangles condition

AAS (Angle Angle Side postulate) congruent triangles condition

RHS or HL (Right angle Hypotenuse Side or Hypotenuse – Leg postulate) congruent triangles condition

Congruent Line-segments

Congruent Angles

Congruent Triangles

Conditions for the Congruence of Triangles

Side Side Side Congruence

Side Angle Side Congruence

Angle Side Angle Congruence

Angle Angle Side Congruence

Right Angle Hypotenuse Side congruence

Pythagorean Theorem

Proof of Pythagorean Theorem

Converse of Pythagorean Theorem