In quadrilateral it is given that and

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In quadrilateral

ABCD

it is given that

AB = CD

and

\angle BAD = \angle ADC

. (i) Prove that

AB \parallel CD

. (ii) Hence, show that

ABCD

is a parallelogram. (iii) If

AB = CD = 7\,\text{cm}

and

AD = 5\,\text{cm}

, find the perimeter of

ABCD