The diagonals of a parallelogram `A B C D` intersect at `OdotA` line through `O` intersects `A B` at `X` and `D C` at `Ydot` Prove that `O X=O Ydot`

The diagonals of a parallelogram A B C D intersect at OdotA line through O intersects A B\ at X\ a n d\ D C at Ydot Prove that O X=O Y

The diagonals of a parallelogram ABCD intersect at O.A line through O intersects AB at X and DC at Y. Prove that OX=OY

The diagonals of a parallelogram A B C D intersect at Odot A line through O meets A B in X and C D in Ydot Show that a r( A X Y D)=1/2(A R ^(gm)A B C D)

The diagonals of a parallelogram A B C D intersect at a point Odot Through O , a line is drawn to intersect A D\ at P and B C at Qdot Show that P Q divides the parallelogram into two parts of equal area.

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

A B C D is a parallelogram whose A C\ a n d\ B D intersect at Odot A line through O intersects A B\ a t\ P\ a n d\ D C\ at Qdot Prove that a r\ (\ P O A)=\ a r\ (\ Q O C)dot

The diagonals of a parallelogram ABCD intersect at O. A line through O meets AB in x and CD in Y .Show that ar (AXYX)=(1)/(2)(ar|^(gm)ABCD)

ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersects AB at P and DC at Q. Prove that ar (Delta POA) =" ar "(Delta QOC) .