prove that figure formed by joining the mid points of consecutive sides of a quadrilateral is a parallelogram
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Consider a quadrilateral ABCD and G H E F as the midpoints of AD,DC,BC and AB.
By midpoint theorem
GH // diagonal AC
Diagonal AC//FC
●GH//FC
Similarly GF//HC
●The figure obtained is a parallelogram.
By midpoint theorem
GH // diagonal AC
Diagonal AC//FC
●GH//FC
Similarly GF//HC
●The figure obtained is a parallelogram.
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