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 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) . .

In fig., two chords AB and CD intersect each other at the point P prove that :- triangleAPC~triangleDPB . .

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

In fig., two chords AB and CD intersect each other at the point P prove that :- AP.PB=CP.DP. .

In fig, two chords AB and CD intersect each other at the point P. Prove that: (i) triangleAPC ~ triangleDPB (ii) AP.PB= CP.DP

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. if OA=3 cm and OD=2 cm, determine the length of AC and BD.

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

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) .

Bisectors of the angles B and C of an isosceles triangle with ABC with AB=AC intersect each other at O. show that the external angle adjacent to angleABC is equal to angleBOC .

In two chords AB and CD intersect each AB and CD intersect each other at the point P. Prove that Delta APC ~ Delta DPB