In the figure, if ar `DeltaRAS = ar DeltaRBS and [ar (DeltaQRB) = ar(DeltaPAS)` then show that both the quadrilaterals PQSR and RSBA are trapeziums.

In the figure , AP || BQ || CR. Prove that ar (DeltaAQC) = ar (DeltaPBR) .

From the given figure, ar ( DeltaADE ): ar ( DeltaABC )= …………..

DeltaABC~DeltaPQR , AB:PQ=3:4 then ar DeltaABC : ar DeltaPQR =……

P is a point in the interior of a parallelogram ABCD. Show that ar (Delta APD) + ar ( DeltaPBC) = ar ( DeltaAPB) + ar (DeltaPCD)

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

DeltaABC~DeltaDEF if DE:AB=2:3 and ar DeltaDEF =44sq. Units then ar DeltaABC = ……………sq. units.

P is a point in the interior of a parallelogram ABCD. Show that (i) ar (DeltaAPB) +ar (DeltaPCD)=1/2ar (ABCD) (ii) ar(DeltaAPD)+ar (DeltaPBC)=ar(DeltaAPB)+ar(DeltaPCD) (Hint : Throught , P draw a line parallel to AB)

Both fibrous roots and stilt roots ar found in

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (DeltaACB) = ar (DeltaACF) (ii) ar (AEDF) = ar (ABCDE)

Draw two triangles ABC and DBC on the same base and between the same parallels as shown in the figure with P as the point of intersection of AC and BD. Draw CE || BA and BF || CD such that E and F lie on line AD. Can you show ar(DeltaPAB) = ar(DeltaPDC) Hint : These triangles are not congruent but have equal areas.