In the given figure, the diagonals AC and BD intersects at point O. If OB=OD and `AB////DC`, prove that :
(i) ` "Area" (DeltaDOC)= "Area" (DeltaAOB)`.
(ii) ` "Area" (DeltaDCB)= "Area" (DeltaACB)`.
(iii) ABCD is a parallelogram.

In the given figure, diagonals PR and QS of thr parallelogram PQRS intersect at point O and LM is parallel to PS. Show that : (i) 2 "Area" (DeltaPOS)= "Area" (////gmPMLS) (ii) "Area" (DeltaPOS)+ "Area" (DeltaQOR) =(1)/(2) "Area" (////gmPQRS) (iii) "Area" (DeltaPOS)+ "Area" (DeltaQOR) = "Area" (DeltaPOQ)+ "Area" (tDeltaSOR)

In the given figure, the diagonals AC and BD of a rectangle ABCD intersect each other at point O. If OA=2x+6 and OD=3x+3, find the value of x.

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find DeltaDOC: DeltaAOB

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect point O. Prove that : AB+BC+CD+DA lt 2(AC+BD)

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: OA xx OD = OB xx OC .

In the figure, the area of parallelogram ABCD is

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find DeltaAOB: DeltaACB

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find Delta AOD: Delta AOB

The medians of a triangle ABC intersect each other at point G. If one of its medians is AD, Prove that : (i) "Area (ΔABD)=3x "Area" (ΔBGD) (ii) "Area (ΔACD)=3x "Area" (ΔCGD) (iii) "Area (ΔBGC)=(1)/(3)x "Area" (ΔABC)