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.