Question

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

Answer 1

opposite side are equal that means ABCD is a parallelogram

Answer 2

given that

AB = CD

AD = BC

to prove that : ABCD is a IIgram

proof :- AB = CD (from the given )

BC = AD (from the given )

BD = BD (common side )

∴ Δ ADB ≡ Δ DBC by SSS congruence rule .

therefore from CPCT we can write that ∠ADB = ∠ DBC (alternate interior angle )

since the alternate interior angles and opposite sides are equal in a quadrilateral therefore it is a IIgram .

i hope it helps