Question

ABCD is a quadrilateral in which AB=CD and AD=BC. Prove that AD is parallel to BC.​

Answer 1

Answer:

AD is parallel to BC.​

Step-by-step explanation:

refer attachment for answer

given ABCD is quadrilateral, AB = CD  and  AD = BC

so opposite sides are equal in this quadrilateral

so it is a parallelogram [ if opposite sides are equal in a quadrilateral, then it is a parallelogram )

in a parallelogram, opposite sides are not only equal, they are also parallel.

so AB║ CD

and AD║ BC

hence proved that AD is parallel to BC.​