In a quadrilateral ABCD, P and Q are mid-ponts. Show that `ar(AXD)`+`ar(BYC)`=`ar(PXQY)`

ABCD, DCFE and ABFE are parallelograms. Show that ar(ADE) = ar(BCF)

Diagonals AC and BD of a quadrilateral ABCD each other at P. Show that ar (APB) xx ar (CPD) =ar (APD) xx ar (BPC)

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD) xx ar (BPD). [Hint : From A and C, draw perpendiculars to BD.

Diagonals AC and BD of quadrilateral ABCD intersect each other at P. Show that ar (APB) xx ar (CPD) = ar (APD)xx ar(BPC) .

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC) . Prove that ABCD is a trapezium.

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD) = ar (BOC). Prove that ABCD is a trapezium.

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD)=ar(BOC). Prove that ABCD is a trapezium.

Diagonals AC and BD of square ABCD intersect each other at point P. Show that ar(/_APB)xx ar(/_CPD)=ar(/_APD)xx ar(/_BPC)

In a quadrilateral ABCD, it is being given that M is the midpoint of AC. Prove that ar(squareABMD)=ar(squareDMBC) .

In the quadrilateral ABCD, it is given that L is the mid-point of AC. Prove that arc(qud.ABLD)=ar(quad.DLBC)