Question

If in two triangles ABC and DEF, $\frac{\mathrm{AB}}{\mathrm{DE}}=\frac{\mathrm{BC}}{\mathrm{FE}}=\frac{\mathrm{CA}}{\mathrm{FD}}$, then

(a) ∆FDE ∼ ∆CAB
(b) ∆FDE ∼ ∆ABC
(c) ∆CBA ∼ ∆FDE
(d) ∆BCA ∼ ∆FDE

Answer 1

We know that if two triangles are similar if their corresponding sides are proportional.

It is given that ΔABC and ΔDEF are two triangles such that .

$$\begin{gathered} \angle A=\angle D \\ \angle B=\angle E \\ \angle C=\angle F \end{gathered}$$

∴ ΔCAB $~$ΔFDE

Hence the correct answer is .