If in ∆ABC and ∆DEF, AB/DE=BC/FD , then they will be similar when:

If in ∆ABC and ∆DEF, AB/DE=BC/FD , then they will be…

If in ∆ABC and ∆DEF, $\frac{AB}{DE}=\frac{BC}{FD}$ , then they will be similar when:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ∠B = ∠D.

According to the SSS theorem, if three sides of a triangle are proportional to three sides of another triangle, then the triangles are similar.

So, in ∆ABC and ∆DEF,

AB/DE = BC/DF = AC/EF

We know that If two triangles are similar, then their corresponding angles are congruent, and corresponding sides are in the same ratio.

So, in ∆ABC and ∆DEF

⇒ ∠B = ∠D

⇒ ∠A = ∠E

⇒ ∠C = ∠F