If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD, show that ar(EFGH) = ar(ABCD).


Asked by Topperlearning User | 17th Aug, 2017, 12:25: PM

Expert Answer:

Join HF.
Since H and f are the mid points of Ad and BC respectively,
ABCD is a parallelogram
AD = BC and AD  BC
AH = BF and AH  BF
ABFH is a parallelogram
Since parallelogram FHAB and FHE are on the same base and between the same parallels HF and AB,

Answered by  | 17th Aug, 2017, 02:25: PM

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