In the figure, it is given that BDEF

Question:

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

Solution:

Yes, in the given figure, BDEF is a parallelogram..

∴ BD || EF and BD = EF …(i)

Also, FDCE is a parallelogram.

∴ CD||EF

and CD = EF …(ii)

From Eqs. (i) and (ii), BD = CD = EF

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