In figure, BDEF and DCEF are each a //gm. Is it true that BD = DC? WHY or whynot ?
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IN PARALLELOGRAM BDEF
:. BD = EF (i)...... (opposite side of PARALLELOGROM are always equal)
IN PARALLELOGRAM DCEF
CD = EF (ii)........ (opposite side of PARALLELOGROM are always equal)
FROM EQUATION (I) and (ii)
BD = CD
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Answer:
In parallelogram BDEF
BD = EF [In a parallelogram opposite sides are equal]
In parallelogram DCEF
DC = EF [In a parallelogram opposite sides are equal]
Since, BD = EF = DC
So, BD = DC
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