Question

ABCD is a quadrilateral in which AB equal to CD and AD equal to BC show that it is a parallelogram​

Answer 1

opposite sides are parellel to each other and are equal to each other so it is a parallelogram

Answer 2

to prove this follow the given steps

first make diagonal of that quadrilateral

now

prove the congruence of that two ∆'s

it can be proved by side-side-side congruence criteria

now,

the triangles congruent ,

so we can proof that the alternate Angles are equal

since alternate Angles are equal

therefore lines will be parallel

if opposite sides are parallel and equal

there for it will be parallelogram