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In the figure, it is given that BDEF and...

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

Text Solution

Verified by Experts

Yes, in the given figure, BDEF is a parallelogram.
`therefore" "BD||EF and BD=EF" "...(i)`
Also, FDCE is a parallelogram.
`therefore" "CD||EF`
and CD = EF `" "`…(ii)
From Eqs. (i) and (ii), BD = CD = EF
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