Triangle Congruence Postulates

SSS(side-side-side)

A triangle congruence postulate stating that if three sides of one triangle are equal in length to three sides of another triangle, then the two triangles are congruent.

SAS(side-angle-side)

A triangle congruence postulate stating that if two sides and the included angle of one triangle are equal in length to two sides and the included angle of another triangle, then the two triangles are congruent.

ASA(angle-side-angle)

A triangle congruence postulate stating 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.

AAS(angle-angle-side)

A triangle congruence postulate stating 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.

HL(hypotenuse-leg)

A triangle congruence postulate that applies specifically to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

False Shortcuts

AAA and SSA