Question

Two triangles are said to be congruent by which of the following conditions?

• A. One side and one angle of both the triangles are equal
• B. Two sides and one non-included angle of both the triangles are equal
• C. One side of both the triangles are equal
• D. Two sides and one included angle of both the triangles are equal

Answer 1

The correct option is D Two sides and one included angle of both the triangles are equal

The criteria for congruency of two triangles are SSS, SAS, ASA, AAS and RHS.
Hence, if two sides and one included angle of both triangles are equal, then the two triangles are congruent to each other by the SAS congreunce criteria.