Question

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

• A. $\angle B=\angle E$
• B. $\angle A=\angle D$
• C. $\angle B=\angle D$
• D. $\angle A=\angle F$

Answer 1

The correct option is C $\angle B=\angle D$

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

Now if the angle made by both the sides of each triangle are equal to each other then triangle $\Delta ABC$ and $\Delta DEF$ will become similar.

Hence $\angle B$ should be equal to $\angle D$

means $\angle B=\angle D$