ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF, prove that `ar (DeltaAER) = ar (DeltaAFR)`.

ABCD is a squre. E and F are respectivley the mid-points of BC and CD. If R is the mid-points of EF. Prove that ar (AER) = ar(AFR).

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

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(RQC) = 3/8 ar(ABC).

ABC is a triangle in which D is the mid-point of BC and E is the mid-point of AD. Prove that: ar(triangleBED) = 1/4 ar(triangleABC)

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

ABCD is a parallelogram, E and F are the mid-points of BC and CD. Find the ratio of area of parallelogram ABCD and DeltaAEF