Question

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

• 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 $\angle B=\angle D$

In $△ABC$ and $△DEF$,
$\frac{AB}{DE}=\frac{BC}{FD}$ (Given)
The angle between these sides are $\angle B$ and $\angle D$. Thus, If the containing angles are equal. The triangles will be similar..