Question
In the figure, BDEF and DCEF are each a parallelogram. It is true that BD = DC? Why or why not?
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Answer
In parallelogram BDEF,
BD = EF ……(i) (Opposite sides of a parallelogram)
Similarly, in parallelogram DCEF
DC = EF
From (i) and (ii)
BD = DC
Hence it is true that BD = DC.
BD = EF ……(i) (Opposite sides of a parallelogram)
Similarly, in parallelogram DCEF
DC = EF
From (i) and (ii)
BD = DC
Hence it is true that BD = DC.
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