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In Fig., BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not?

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In parallelogram BDEF

BD = EF ………..(i) [In a parallelogram opposite sides are equal]

In parallelogram DCEF

DC = EF ………..(ii) [In a parallelogram opposite sides are equal]

From equations (i) and (ii), we get

BD = EF = DC

Hence, BD = DC Proved

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