Question

Question 7
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 angles are same, then they are similar by AAA similarity criterion.
But $\Delta ABCand\Delta DEF$ do not satisfy any rule of congruency like SAS, ASA, SSS. So, both the triangles are not congruent.