Methods of Proving (Showing) Triangles to be Congruent

SSS

If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

SAS

If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

ASA

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

AAS

If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

HL

If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent