If E, F G and H are respectively the midpoints of the sides AB, BC, CD and AD of a parallelogram ABCD, show that ar(EFGH) `=1/2` ar (ABCD) .

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

If P and Q are the middle points of the sides BC and CD of the parallelogram ABCD, then AP+AQ is equal to

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD show that ar(DeltaAPB) = ar Delta(BQC)

E and F are respec­tively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.

D, E and F are respectively the mid-points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF" and "DeltaABC .

If D, E and F be the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is

In DeltaABC , D , E and F are respectively the midpoints of sides AB, BC and CA( see the given figure). Show that DeltaABC is devided into four congruent triangles by joining D, E and F.

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that DeltaABE ~ DeltaCFB .

For parallelogram ABCD, ar(ABCD)=48 cm^2 . Then ar(ABC)=___ cm^2

ABCD is a square. E, F, G and H are the mid points of AB, BC, CD and DA respectively. Such that AE = BF = CG = DH . Prove that EFGH is a square.