In Fig.
, ar (ABQ) = ar (PBQ) and ar (BQC) = ar (BQR). Show that both the quadrilaterals ABQP and BCRQ are trapeziums.

ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilaterals ABCD and DCPR are trapeziums.

AP||BQ||CR. Prove that ar(AQC) = ar(PBR)

In Fig. ABCD is a parallelogram. Prove that ar (DeltaBCP) = ar (DeltaDPQ) .

In the given figure , ar (DeltaABE) = 50 cm^2 Find ar (rect. ABCE).

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.

In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (DeltaDPQ) .

In the given figure , ar (DeltaABE) = 50 cm^2 Find ar (||gm ABED) .

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

PQRS is a ||gm. L is any point on PS and M is any point on QR. Show that: ar(triangleQLR) = ar(triangleQPM) + ar(triangleSRM)

In the figure CD||AE and CYA||BA. Prove that : ar(CBX) = ar(AXY)