Question

Explain, why
$\Delta ABC\cong \Delta FED$ ?

Answer 1

In $\Delta ABC$ and $\Delta FED$,

$\angle B=\angle E={90}^{\circ }$ [Given]

$\angle A=\angle F$ [Given]

$BC=ED$ [Given]

$\Rightarrow$ Two angles and one side of $\Delta ABC$ are equal to two angles and one side of $\Delta FED$.

Therefore, $\Delta ABC\cong \Delta FED$ [AAS congruence rule]