Question

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

• A. Congruent but not similar
• B. Similar but not congruent
• C. Neither congruent nor similar
• D. Congruent as well as similar

Answer 1

The correct option is B Similar but not congruent

In $△ABC$ and $△DEF$
$\angle B=\angle E$ (given)
$\angle C=\angle F$ (Given)
$\angle A=\angle D$ (third angle)
Thus, $△ABC\sim △DEF$ (AAA rule)
Given, $AB=3DE$ Since, $AB\ne DE$
The two triangles are similar but not congruent.