Question
it is given that $BDEF$ and $FDCE$ are parallelograms. Can you say that $B D=C D$ ? Why or why not?

Answer

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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