**Definition of congruence**: If two figures exactly cover each other then they are called congruent.

**Definition of congruence of triangles**: If a triangle when placed on another, exactly covers the other, the triangles are congruent.

# Two triangles will be congruence if –

** Side Angle Side( SAS)**: If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

**Side Side Side(SSS)**: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

**Angle Side Angle(ASA)**: If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

**Angle Angle Side (AAS)**: If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent.

**Right angle Hypotenuse Side (RHS), also known as HL (Hypotenuse-Leg)**: If two right angled triangles have their hypotenuses equal in length, and a pair of shorter sides are equal in length, then the triangles are congruent.