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 nonincluded 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 