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

The diagonals of a quadrilateral ABCD intersects each other at the point O such that (AO)/(BO)= (CO)/(DO) . Show that ABCD is a trapezium.

In the given figure, two chords AB and CD intersect each other at the point P. Prove that AP*PB= CP*DP

In the figure, diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar(DeltaAOD) = ar(Delta BOC).

In the given figure, two chords AB and CD intersect each other at the point P. Prove that DeltaAPC ~ DeltaDPB

Digonals 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.

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

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

In the given figure, altitudes AD and CE of DeltaABC intersect each other at the point P. Show that : DeltaAEP ~ DeltaCDP

In the given figure, altitudes AD and CE of DeltaABC intersect each other at the point P. Show that : DeltaABD ~ DeltaCBE