Question

If in ∆ABC and ∆DEF, \[\frac{AB}{DE} = \frac{BC}{FD}\], then ∆ABC ∼ ∆DEF when

Options

• ∠A = ∠F

• ∠A = ∠D

• ∠B = ∠D

• ∠B = ∠E

Answer 1

Given: In ΔABC and ΔDEF, `(AB)/(DE)=(BC)/(FD)`.

We know that if in two triangles, one pair of corresponding sides are proportional and the included angles are equal, then the two triangles are similar.

Then, `∠B=∠D`

Hence, ΔABC is similar to ΔDEF, we should have .`∠B=∠D`

Hence the correct answer is `c`