Diagonals AC and BD of a trapezium ABCD with AB`|\|`DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Diagonals AC and BD of a trapezium ABCD with AB || DC interseet each other ar at O. Prove that ar (AOD) = BOC.

Diagonals AC and BD of a trapezium ABCD with AB|| DC intersect each other at the point O. Using a similarity criterion for two triangles , show ,that (OA)/(OC)=(OB)/(OD)

Diagonlas AC and BD of a trapezium ABCD with AB ||DC intersect each other at the point O. using a similarity criterion for two triangles, show that (OA)/(OC) = (OB)/(OD) .

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD) xx ar (BPD). [Hint : From A and C, draw perpendiculars to BD.

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 trapezium ABCd with AB||DC intersect each other at the point O. If AB = 2 CD , find the ratio of the areas of triangles AOB and COD.

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

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

ABCD is a trapezium with AB || DC,. A line parallel to AC interseets AB at X and BC at Y. Prove that ar (ADX) = ar (ACY)