In the adjacent figure P is a point inside the parallelogram ABCD. Prove that
ar (APB) + ar (PCD) = `1/(2)` ar (ABCD)

In the adjacent figure P is a point inside the parallelogram ABCD. Prove that ar (APD) + ar (PBC) = ar (APB) + ar (PCD)

In the adjoining figure, P is the point in the interior of a parallelogram ABCD.Show that ar(DeltaAPB) ar(DeltaPCD) =1/2ar(||gm ABCD)

In the figure, P is a point in the interior of a parallelogram ABCD. Show that (i) ar (triangleAPB)+ar(trianglePCD=1/2ar(ABCD) (ii) ar (triangleAPD)+ar(trianglePBC)=ar(triangleAPB)+ar(trianglePCD)

In Fig.9.16,P is a point in the interior of a parallelogram ABCD.Show that (i) ar(APB)+ar(PCD)=(1)/(2)ar(ABCD)(ii)ar(APD)+ar(PBC)=ar(APB)+ar(PCD)

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

P is any point on the diagonal BD of the parallelogram ABCD. Prove that ar (triangleAPD) = ar (triangleCPD) .

O is the any point on diagonal PR of parallelogram PQRS.Prove that Ar(PSO)=Ar(PQO)

If ABCD is a parallelogram,the prove that ar(ABD)=ar(BCD)=ar(ABC)=ar(ACD)=1/2ar(||^(gm)ABCD)

In figure,ABCD and AEFD are two parallelograms.Prove that ar (Delta PEA)=ar(Delta QFD)

If E,F,G and H are respectively the mid- points of the sides of a parallelogram ABCD , show that ar(EFGH)=(1)/(2) ar (ABCD)