Q.10 Explain, why \(\triangle ABC \cong \triangle FED \)

In \(\triangle ABC and \triangle FED \)

\(\angle B = \angle E = 90° \) (Given)

\(\angle A = \angle F \) (Given)

\(\therefore \angle A + \angle B = \angle E + \angle F \)

\( 180° – \angle C = 180° – \angle D \)

[Angle sum property of triangles]

\(\therefore \angle C =\angle D \)

BC = ED (Given)

\(\therefore \triangle ABC = \triangle FED \) (By ASA rule)