Question

If the angles of one triangle $ABC$ are congruent with the corresponding angles of triangle $DEF$, which of the following is/are true?

• A. The two triangles are congruent but not necessarily similar.
• B. The two triangles are similar but not necessarily congruent.
• C. The two triangles are both similar and congruent.
• D. The two triangles are neither similar nor congruent.

Answer 1

The correct option is B The two triangles are similar but not necessarily congruent.

Only the angles of two triangles being congruent meaning the same, implies that the triangles are similar, since there could be many triangles having those angles but of varied sizes, just enlarging the sides in proportion.

For congruency, atleast one side has to be taken into account while writing the congruency test.