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

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

D, E and F are respectively the mid-points of sides AB, BC and CA of Delta ABC . Find the ratio of the areas of Delta DEF and Delta ABC .

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

D, E and F are respectively the mid-points of the sides AB, BC and CA of a ΔABC. Prove that by joining these mid-points D, E and F, the ΔABC is divided into four congruent triangles

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

If E,F, G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar (EFGH) = (1)/(2) ar (ABCD)

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

IF P,Q,R and S are respectively the mid-points of the sides of a parallelogram ABCD show are (PQRS) = 1/2 ar (ABCD)

In a parallelogram ABCD, E and F are the mid points of sides AB and CD respectively (see fig.) Show that the line segements AF and EC trisect the diagonal BD.

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