the sides AB and CD of a parallelogram ABCD are bisected at E and F Prove that EBFD is a parallelogram
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AB||DC and AB = DC (opposite sides of a parallelogram)
EB||DF and EB = 1 / 2
AB (E is the mid point of AB)
Also DF = 1 / 2
DC = 1 / 2
AB (F is mid point of DC and DC = AB)
EB||DF and EB = DF
EBFD is a parallelogram. (One pair of opposite sides is parallel and equal)
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