In and , it is given that AB DE = BC FD then: - Vidyadip

MCQ

In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ it is given that $\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{FD}}$ then:

A
$\angle\text{B}=\angle\text{E}$
B
$\angle\text{A}=\angle\text{D}$
✓
$\angle\text{B}=\angle\text{D}$
D
$\angle\text{A}=\angle\text{F}$

✓

Answer

Correct option: C.

$\angle\text{B}=\angle\text{D}$

In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ it is given that $\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{FD}}$
So, $\text{A}\leftrightarrow\text{E},\text{B}\leftrightarrow\text{D},\text{C}\leftrightarrow\text{F}$
$\Rightarrow\angle\text{B}=\angle\text{D}$

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