In fig.
PQRS and ABRS are parallelograms and X is any point on side BR. Show that `ar(PQRS)=ar(ABRS)`.

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

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

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

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

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 .

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

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

P and Q are respectively the midpoints of sides AB and BC or a triangle ABC and R is the mid-point of AP, show ar(PBQ)=ar(ARC).

P and Q are respectively the midpoints of sides AB and BC or a triangle ABC and R is the mid-point of AP, show ar(PRQ)= 1/2 ar(ARC).