Let D(3, -2), E(-3, 1) and F(4, -3) be the midpoints of the sides BC, CA and AB respectively of `Delta ABC`. Then, find the coordinates the vertices A, B and C.

If D(3,-2) , E(-3,1) and F(4,-3) are the mid-points of the sides BC, CA and AB respectively of Delta ABC , find the co-ordinates of point A , B and C .

If D(3,-2) , E(-3,1) and F(4,-3) are the mid-points of the sides BC, CA and AB respectively of Delta ABC , find the co-ordinates of point A , B and C .

If D(x_(1),y_(1),z_(1)), E(x_(2),y_(2),z_(2)) and F(x_(3),y_(3),z_(3)) are the midpoints of the sides BC, CA and AB respectively of a triangle, find its vertices A, B and C.

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

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 .

Let ABC and A'B'C' be two triangles in which AB gt A'B', BC gt B'C' and CA gt C'A' . Let D, E and F be the midpoints of the sides BC, CA and AB respectively. Let D', E' and F' be the midpoints of the sides B'C', C'A' and A'B' respectively. Consider the following statements : Statement I: AD gt A'D', BE gt B'E' and CF gt C'F' are always true. Statement II : (AB^(2)+BC^(2)+CA^(2))/(AD^(2)+BE^(2)+CF^(2)) =(A'B'^(2)+B'C'^(2)+C'A'^(2))/(A'D'^(2) +B'E'^(2) +C'F'^(2)) Which one of the following is correct in respect of the above statements?