In Fig. 17.29, BDEF and DCEF are each a parallelogram. Is it true that BD=DC? Why or why not?
In parallelogram BDEF
BD = EF ………..(i) [In a parallelogram opposite sides are equal]
In parallelogram DCEF
DC = EF ………..(ii) [In a parallelogram opposite sides are equal]
From equations (i) and (ii), we get
BD = EF = DC
Hence, BD = DC Proved
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