Q : 6 In Fig. , diagonals AC and BD of quadrilateral ABCD intersect at O such that . If , then show that:
(iii) or ABCD is a parallelogram.
[Hint : From D and B, draw perpendiculars to AC.]
Since DCB and ACB both lie on the same base BC and having equal areas.
Therefore, They lie between the same parallels BC and AD
CB || AD
also 1 = 2 [ already proved]
So, AB || CD
Hence ABCD is a || gm