Two triangles are congruent, if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the

RHS congruency

It states that if in 2 right angle triangles Hypotenuse and any 1 side are equal then both triangles are congruent by RHS

ASA congruency

It states that if in 2 triangles 2 angles and a corresponding side between them are equal then both triangles are congruent by ASA

SAS congruency

It states that if in 2 triangles 2 sides and a corresponding angle between them are equal then both triangles are congruent by SAS

SSS congruency

It states that if in 2 triangles if all 3 sides are equal then both triangles are congruent by SSS