In Figure, `D ,E` and `F` are, respectively the mid-points of sides `B C ,C A` and `A B` of an equilateral triangle `A B C` . Prove that `D E F` is also an equilateral triangle.

In Figure,D,E and F are,respectively the mid-points of sides BC,CA and AB of an equulateral triangle ABC. Prove that DEF is also an equilateral triangle.

If D,E and F are respectively the midpoints of the sides BC,CA and AB of an equilateral triangle ABC ,prove that /_DEF is also an equilateral triangle.

D, E and F are the mid-points of the sides BC, CA and AB, respectively of and equilateral Delta ABC. Show that Delta DEF is also an equilateral triangle.

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

If D, E and F are the mid-points of the sides of an equilateral triangle ABC, then the ratio of the area of triangle DEF and DCF is :

E , F , G , H are respectively, the mid-points of the sides A B ,B C ,C D and D A of parallelogram A B C D . Show that the quadrilateral E F G H is a parallelogram and that its area is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : (i) Quadrilateral E F G H is a parallelogram a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join A C and H F

If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respectively of a triangle A B C , prove by vector method that A r e aof D E F=1/4(a r e aof A B C)dot

In DeltaA B C , D, E and F are respectively the mid-points of sides AB, BC and CA. Show that DeltaA B C is divided into four congruent triangles by joining D, E and F.

In the adjoining figure D, E and F are the mid-points of the sides BC, AC and AB respectively. triangle DEF is congruent to triangle :