Question

The points A(-3, 6), B(0, 7) and C(1, 9) are the mid points of the sides DE, EF and FD of a triangle DEF. Show that the quadrilateral ABCD is a parallelogram.

Answer 1

In a parallelogram diagonals bisect each other and diagonals are not equal.

Mid points of the diagonals are equal in parallelogram 

∴ We have to prove this 

Mid point of AC 

∴ Mid point of AC = Mid point of BD

∴ ABCD is a parallelogram.