The methods to prove congruence are:
SSS (Side Side Side) that is, if all the corresponding sides of two triangles are equal
ASA (Angle Side Angle) That is if two angles and the included side are equal.
SAS (Side Angle Side) That is, if two sides and the included angle are equal
AAS (Angle Angle Side) That is, if any pair of angle and a corresponding side are equal
HL (Hypotenuse Leg) In a pair of right triangles if the hypotenuse are equal and a pair of corresponding sides are equal.