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



So, EBFD is a parallelogram.


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