ABCD is a quadrilateral,where AC and BD intersect at O such that OB=OD.If AB=CD,then show that-(i)ar.(DOC)=ar.(AOB);(ii)ar.(DCB)=ar.(ACB); ABCD is a paralle\log ram

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Diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD.If AB = CD, then show that:
(i) ar ( $△$ DOC) = ar ( $△$ AOB) (ii) ar ( $△$ DCB) = ar ( $△$ ACB) [4 MARKS]

Q. In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB=OD. If AB=CD, then show that
1. ar(DOC)=ar(AOB)
2. ar(DCB)=ar(ACB)
3. DA||CD or ABCD is a parallelogram.

Q. In fig. diagonals AC and BD of quadrilateral ABCD intersect at O such that OB=OD. If AB=CD, then show that:
(i) ar (DOC) = ar (AOB).
(ii) ar (DCB) = ar (ACB).
(iii) DA|| CB or ABCD is parallelogram.

Q. Question 6 (iii)
In the given figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that:
(iii) DA || CB or ABCD is a parallelogram.

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