In Fig ., PQRS and ABRS are parallelograms and X is any point on side BR .Show that

`ar(AXS)=(1)/(2)` ar (PQRS)

PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

PQRS is a parallelogram. Find the values of x and y

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

ABCD is a parallelogram and X is the mid-point of AB. If ar (AXCD) = 24 cm^2 , then ar (ABC) = 24 cm^2 .

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that: ar(BPC) = ar(DPQ)

In the figure. ABCD is a parallelogram and O is any point on BC . Prove that ar (triangleABO) + ar (triangleDOC) = ar(triangleODA)

In the figure ABCD and EFGD are two parallelograms and G is the mid-point of CD. Then ar(DPC) = 1/2 ar(EFGD)

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

In Fig. , PQR is a triangle, S is any point in its interior, show that . SQ + SR < PQ + PR .

In Fig. 9.13, ABCD is a parallelogram and EFCD is a rectangle. Also, AL bot DC . Prove that (i) ar (ABCD) = ar (EFCD) (ii) ar (ABCD) = DC × AL