CBSE Class 9 Answered
In the figure, AB||DE, AB = DE, AC||DF, AC
= DF. Prove that BC||EF and BC = EF.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
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
AC|DF, AC = DF
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 | 04 Jun, 2014, 03:23: PM
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