MCQ
If $\triangle A B C$ and $\triangle D E F, \frac{A B}{D E}=\frac{B C}{F D}$. Which of the following makes the two triangles similar?
- A$\angle A=\angle D$
- ✓$\angle B=\angle D$
- C$\angle B=\angle E$
- D$\angle A=\angle F$
✓
Answer
Correct option: B.
$\angle B=\angle D$
(B)$\angle B=\angle D$
We have,
$
\frac{A B}{D E}=\frac{B C}{F D} \Rightarrow \frac{A B}{B C}=\frac{E D}{D F} \therefore \triangle A B C \sim \triangle E D F \text { if } \angle B=\angle D
$
We have,
$
\frac{A B}{D E}=\frac{B C}{F D} \Rightarrow \frac{A B}{B C}=\frac{E D}{D F} \therefore \triangle A B C \sim \triangle E D F \text { if } \angle B=\angle D
$
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