In the gives figure ABCD is a parallelogram in which AP produced to E so that BE = AB prove that ED bisect BC
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REF.Image.
As, AB=BE
B is mid point of AE
Consider △EAD
From midpoint Theorem
BM=21AD (AsAD∥BM) & B is mid point of AE
⇒=21BC (As AD = BC for parallelogram)
⇒ M is midpoint of BC
Hence ED bisects BC
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