Question

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

Options

• ∆FDE ∼ ∆CAB

• ∆FDE ∼ ∆ABC

• ∆CBA ∼ ∆FDE

• ∆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

`(AB)/(DE)=(BC)/(EF)=(CA)/(FD)`.

\[\angle A = \angle D\]

\[\angle B = \angle E\]

\[\angle C = \angle F\]

∴ ΔCAB ∼ ΔFDE

Hence the correct answer is `a`.