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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.



Answer -

Figure is given as follows:
┬а
It is given that ABCD is a parallelogram.
E is the mid point of AB
Thus,
┬а,
┬а┬а...... (i)
Similarly,
┬а тАжтАж(ii)
From (i) and (ii)
┬а
Also,┬а┬а
Thus,┬а┬а
Therefore, EBFD is a parallelogram.

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