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CBSE Class 9 Answered

Show that line segment joining the mid points of a pair of opposite sides of a parallelogram, divides it into two equal parallelograms.
Asked by Topperlearning User | 17 Aug, 2017, 12:18: PM
answered-by-expert Expert Answer
Since ABCD is a parallelogram
AB = DC and AB  DC
AE = DF and AE  DF
Quadrilateral ABCD is a parallelogram.
Similarly, quadrilateral EBCF is also a parallelogram.
AEFD and EBCF are two parallelograms on the same base EF and between the same parallels, AD and BC.
ar(AEFD) = ar(EBCF)
Answered by | 17 Aug, 2017, 02:18: PM

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