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

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 AB, BC and CA of the DeltaABC . Prove that DeltaDEF=1/4DeltaABC .

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

D, E and F are the mid-points of the sides AB, AC and BC of the DeltaABC. Prove that DE and AF bisects each other.

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

If E, F and G are the mid-points of the sides AB, BC and CA of the DeltaABC respectively, then prove that the centres of gravity of DeltaABC and DeltaEFG are the same point.

AB and CD are respectively the smallest and longest sides of aquadrilateral ABCD (see adjacent figure). Show that /_A > /_C and /_ B > /_ D.

D, E and F are the mid-points of the sides of BC, CA and AB of the DeltaABC . If DeltaABC=16Sq.cm., then the area of the trapezium FBCE is-

In a parallelogram ABCD, E and F are the midpoints of the sides AB and DC respectively. Show that the line segments AF and EC trisect the diagonal BD.