Question

If in ∆ABC and ∆DEF, then they will be similar, when 

A. ∠B = ∠E  

B. ∠A = ∠D 

C. ∠B = ∠D 

D. ∠A = ∠F

Answer 1

Given,

∆ABC and ∆EDF,

→ AB/DE = BC/FD

By converse of basic proportionality theorem, that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

As we have,

∆ABC ∼ ∆EDF

Then,

∠B = ∠D,

∠A = ∠E and,

∠C = ∠F