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

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

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.

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 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) .

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

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

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

Two sides AB, BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (See figure). Show that: (i) DeltaABM ~= DeltaPQN (ii) DeltaABC ~= DeltaPQR

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

Sides AB and BC and median AD of a DeltaABC are respectively proportional to sides PQ and QR and median PM of DeltaPQR (see the given figure). Show that DeltaABC ~ DeltaPQR .