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Question
In the following figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?
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Solution
BDEF is a parallelogram ...[Given]
So, BD = EF ...(i) [Opposite side of a parallelogram]
FDCE is a parallelogram ...[Given]
So, CD = EF ...(ii)
Now, from equation (i) and (ii), we get
BD = CD
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