# Triangle Congruence Postulates

### SSS, SAS, ASA, AAS, HL

## SSS

If all 3 sides of a triangles are congruent to all 3 sides of another triangle, the triangles are congruent

## SAS

If two sides and the

__included__angle of one triangle are congruent to 2 sides and the__included__angle of another triangle, then the triangles are congruent.*included = in between

## ASA

If two angles and the

__included__side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.## AAS

If two angles and a non-included side of one triangle are congruent to two angles and the

__corresponding non-included__side of a second triangle, then the triangles are congruent.*non-included: not in between

** corresponding sides: sides that are in the same relative position (pay attention to angle markings to determine this)

## HL (Hypotenuse-Leg)

If the hypotenuse and a leg of one right triangle is congruent to the hypotenuse and leg of another right triangle, then the two right triangles are congruent.

## CPCTC

Corresponding Parts of congruent triangles are congruent.

Once you prove two triangles are congruent by one of the previous 5 postulates, you can use CPCTC to prove any other corresponding parts of those two triangles are congruent.