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