Question

In given figure explain, why $△ABC\cong △FED$

Answer 1

Given:- $\angle BAC=\angle FED$ and $BC=DE$

To prove:- $△ABC\cong △FED$

Proof:-

In $△ABC$ and $△FED$

$\angle BAC=\angle EFD\left(\text{Given}\right)$

$\angle ABC=\angle DEF\left(\text{Each}90\right)$

$BC=DE\left(\text{Given}\right)$

$\therefore △ABC\cong △FED\left(\text{By AAS congruence rule}\right)$

Hence proved.