Triangle Congruence

AAS stands for Angle-Angle-Side, a theorem used to prove triangle congruence when two angles and a non-included side are known.

SAS stands for Side-Angle-Side, a theorem used to prove triangle congruence when two sides and the included angle are known.

SSS stands for Side-Side-Side, a theorem used to prove triangle congruence when all three sides of two triangles are known to be equal.

ASA stands for Angle-Side-Angle, a theorem used to prove triangle congruence when two angles and the included side are known.

HL stands for Hypotenuse-Leg, a theorem used to prove congruence in right triangles when the hypotenuse and one leg are known.

You can use the AAS theorem when you know two angles and a non-included side of a triangle.

You can use the SAS theorem when you know two sides and the included angle of a triangle.

You can use the SSS theorem when you know all three sides of two triangles.

You can use the ASA theorem when you know two angles and the included side of a triangle.

Triangle congruence theorems are significant because they allow us to prove that two triangles are identical in shape and size.