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Question
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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Solution
Since ABCD is a parallelogram
∴AB || DC and AB = DC
⇒EB || DF and `1/2` AB =`1/2` DC
⇒EB || DF and EB = DF
EBFD is a parallelogram
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