Question

If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ______.

Options

• ∠B = ∠E

• ∠A = ∠D

• ∠B = ∠D

• ∠A = ∠F

Answer 1

If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ∠B = ∠D.

Explanation:

Given, in ∆ABC and ∆EDF,

`(AB)/(DE) = (BC)/(FD)`

So, ∆ABC ~ ∆EDF if ∠B = ∠D   ......[By SAS similarity criterion]