The diagonals of a quadrilateral ABCD intersect each other at the point o Such that `(AO)/(BO)=(CO)/(DO)` , show that ABCD is trapezium.

If diagonals of a quadrilateral bisect each other at right angles, then it is a :

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

Diagonals of a quadrilateral ABCD bisect each other. If angleA=35^@ determine angleB .

Diagonals AC and BD of quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD)xx ar(BPC) .

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If /_DAC = 32^@ and /_AOB=70^@ , then /_DBC is equal to

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

Diagonals PR and QS of a quadrilateral PQRS intersect each other at O. Prove that PR + QR + RS + SP

ABCD is a trapezium in which AB II DC and its diagonals intersect each other at the point O. show that (AO)/(BO)=(CO)/(DO) .

Diagonals AC and BD of quadrilateral ABCD interset at O such that OB = OD , If AB = Cd, then show that : ar(DCB) = ar(ACB)