1. In the adjacent figure, ABC and DBC are two
triangles on the same side of BC. The mid-points of
AB, AC, DC, DB are E, E G and H respectively.
Prove that EFGH is a parallelogram.
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IN TRIANGLE ABC
by mid point theorem
EF is // to BC and also EF=BC/2.................(1)
now in BCD
BY MID POINT THEOREM
HG// BC and also HG=BC/2....................(2)
from 1 and 2
EF//HG and EF=HG
HENCEEFGH is a parallelogram
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