Question

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

(a) ∠A = ∠F
(b) ∠A = ∠D
(c) ∠B = ∠D
(d) ∠B = ∠E

Answer 1

Given: In ΔABC and ΔDEF, .

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,

Hence, ΔABC is similar to ΔDEF, we should have.

Hence the correct answer is .