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

\text{(A)} \angle B=\angle E

\text{(B)} \angle A=\angle D

\text{(C)} \angle B=\angle D

\text{(D)} \angle A=\angle D

Answers (1)

Answer : [C]

Given :

\frac{AB}{DE}=\frac{BC}{FD}

Here corresponding sides of given triangles ABC and DEF are equal in ratio, therefore, the triangles are similar

Also, we know that if triangles are similar then their corresponding angles are equal

\Rightarrow \angle A=\angle E

      \angle B=\angle D

      \angle C=\angle F

Hence option C is correct.

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