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In the figure, AB||DE, AB = DE, AC||DF, AC = DF. Prove that BC||EF and BC = EF.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert

In quadrilateral ABED

AB||DE, AB = DE (Given)

ABED is a ||gm (Quadrilateral with one pair of opposite sides equal and parallel.)

AD = BE, AD||BE ....(I)

In quadrilateral ACFD


ACFD is a ||gm

AD||CF, AD= CF ...(II)

From I and II

BE||CF and BE = CF

BCFE is a ||gm

BC||EF and BC = EF (opposite sides of ||gm are parallel and equal)

Answered by Expert 4th June 2014, 3:23 PM
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