Question

In $\Delta ABCand\Delta DEF,\angle B=\angle E,\angle F=\angle C$, and AB = 3DE. Then, the two triangles are

(A) Congruent but not similar
(B) Similar but not congruent
(C) Neither congruent not similar
(D) Congruent as well as similar

Answer 1

(B) Similar but not congruent

In $\Delta ABCand\Delta DEF,$
$\angle B=\angle E,\angle F=\angle C$ and AB = 3DE



We know that, if in two triangles corresponding two angles are same, then they are similar by AAA similarity criterion.
But $\Delta ABC,and\Delta DEF$ do not satisfy any rule of congruency like SAS, ASA, SSS, so both are not congruent.