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In Figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not ?

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Answer: True

Solution.
Given : BDEF and FDCE are parallelograms.

If BDEF is a parallelogram then
BD\parallel EF and BD = EF
…..(1)
Also if FDCE is a parallelogram then
CD\parallel EF and CD = EF
…..(2)

From equation 1 and 2 we get
BD = CD = EF
Hence given statement is True.

 

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