In the given figure,it is given that $BDEF$ and $FDCE$ are parallelograms. Can you say that $BD = CD$? Why or why not?
(A) $BDEF$ is a parallelogram.
Therefore,$BD = EF$ ... $(1)$ [Opposite sides of a parallelogram are equal]
$FDCE$ is a parallelogram.
Therefore,$CD = EF$ ... $(2)$ [Opposite sides of a parallelogram are equal]
From equations $(1)$ and $(2)$,we get:
$BD = CD$
Yes,we can say that $BD = CD$ because both are equal to the same side $EF$.
Therefore,$BD = EF$ ... $(1)$ [Opposite sides of a parallelogram are equal]
$FDCE$ is a parallelogram.
Therefore,$CD = EF$ ... $(2)$ [Opposite sides of a parallelogram are equal]
From equations $(1)$ and $(2)$,we get:
$BD = CD$
Yes,we can say that $BD = CD$ because both are equal to the same side $EF$.
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