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.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.

ABCD is a trapezium. AB || CD, P, Q are the mid-points AD and BC respectively. If AB=10cm, CD=18 cm, then PQ=?

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) .

D,E and F are the mid points of the sides BC, CA and AB respectivley of f triangle ABC then the ratio of the areas of triangle DEF and ABC =………..

If M and N are the mid - points of the sides BC and CD respectively of a parallelogram ABCD, then AM + AN equals

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

If D, E and F are respectively the mid-points of AB, AC and BC in DeltaABC then bar(BE)+bar(AF)=

D,E,F are the mid points of the sides BC, CA and AB respectively of a triangle ABC . Determine the ratio of the areas of triangle DEF and triangle ABC .