Question

In figure, ABCD is parallelogramwhich AB is producedto E so that AB =BE
Provethat E B bisects BC
If oA D = 10cm, then find OB.​

Answer 1

Answer:

As, AB=BE

B is mid point of AE

Consider △EAD

From midpoint Theorem

BM= 1/2AD (AsAD∥BM) & B is mid point of AE

⇒= 1/2 BC (As AD = BC for parallelogram)

⇒ M is midpoint of BC

Hence ED bisects BC