In the given figure, diagonals AC and BD of quadrilateral ABCD interse

1.	In the given figure, 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 a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]
Answer» In the given figure, 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 a parallelogram. [Hint: From D and B, draw perpendiculars to AC.]

In the given figure, 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 a parallelogram.[Hint: From D and B, draw perpendiculars to AC.]

Answer»

In the given figure, 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 a parallelogram.

[Hint: From D and B, draw perpendiculars to AC.]