Question

Q8. Prove that mid-points of the sides of a quadrilateral join to form a parallelogram.​

Answer 1

Answer:

Again, the co-ordinates of the mid-point of the diagonal MK of the same quadrilateral are {(a + b + d)/2, (c + e)/2}. Clearly, the diagonals JL and MK of the quadrilateral JKLM bisect each other at ((a + b + d)/2, (c + e)/2). Hence, the quadrilateral JKLM is a parallelogram. Proved.