In and , it is given that = and = . In order that , we must have: - Vidyadip

MCQ

In $\triangle\text{ABC}$ and $\triangle\text{DEF,}$ it is given that $\angle\text{B}=\angle\text{E}$ and $\angle\text{C}=\angle\text{F}.$ In order that $\triangle\text{ABC}\cong\triangle\text{DEF},$ we must have:

A
$AB = DF$
B
$AC = DE$
✓
$BC = EF$
D
$\angle\text{A}=\angle\text{D}$

✓

Answer

Correct option: C.

$BC = EF$

In $\triangle\text{ABC}$ and $\triangle\text{DEF},$
$\angle\text{B}=\angle\text{E}$ and $\angle\text{C}=\angle\text{F}$
So, the induded sides should be equal for the triangle to be congruent by the ASA congruence criterion.
Thus, we must have $BC = EF.$

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