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CBSE Class 9 Answered

ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersect AB at P and DC at Q. Prove that: ar(POA) = ar(QOC)
Asked by Topperlearning User | 10 Dec, 2013, 10:02: AM
answered-by-expert Expert Answer

In POA and QOC, we have

AOP = COQ [vertical opp. angle]

AO = OC [diagonals of a ||gm bisect each other]

PAC = QCA [ alt. interior angles]

[ASA criteria]

[congruent figures are equal in areas]

Answered by | 10 Dec, 2013, 12:02: PM
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