In trapezium AC and BD intersect each other at point P. Then prove that `(A(DeltaABP))/(A(DeltaCPD)) = (AB^2)/(CD^2)`.

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

In square ABCD , seg AD|| seg BC. Diagonal AC and digonal BD intersect each other in point P. Then show that (AP)/(PD)=(PC)/(BP) .

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

In the given figure AB and CD bisect each other at O. Prove that AC = BD.

ABCD is a trapezium such that AB||CD. Its diagonals AC and BC intersect each other at O. Prove that (AO)/(OC) = (BO)/(OD)

In the figure, seg AC and seg BD intersect each other in point P and (AP)/(CP)=(BP)/(DP) . Prove that DeltaABP~DeltaCDP .

In Figure, two chords AB and CD intersect each other at the point P. Prove that: (i) DeltaA P C~ DeltaD P B (ii) A P*P B=C P*D P

In the figure, set aC and seg BD intersect each other in point P and (AP)/(CP)=(BP)/(DP) . Prove that DeltaABP~DeltaCDP .

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

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