The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.
Given,
In a parallelogram ABCD
AB & CD bisect at E & F

AB ⎸⎸CD
AB = DC
EB ⎸⎸DF
So, EB = DF
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So, EBFD is a parallelogram.
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