Question

ΔABC≅ΔFED. Explain, why?

Answer 1

ED=BC and angle ABC is a right angle also angle FED is a right angle
So angle BAC and angle EFD will be same as ED=BC that's why it's a congruent triangle

Answer 2

Answer:

BY SIDE ANGLE ANGLE POSTULATE (SAA)

Step-by-step explanation:

Two triangles are said to be congruent to each other by SAA ( side angle angle ) property if the two angles and included side one triangle  is congruent to the two angles and included side of the other triangle.

In the triangles ABC &  DEF

∠B  = ∠ E  (each is a right angle)

∠A   =   ∠ F

BC  = DE  (given)

Hence, ΔABC≅ΔFED by SAA postulate of congruence.