Question

If two vertices of a parallelogram are (3, 2), (-1, 0) and the diagonals cut at (2, -5), find the other vertices of the parallelogram.

Answer 1

Let A(3, 2), B(-1, 0), C(x₁,y₁) and D(x₂,y₂) be the given points.

Since, the diagonals of parallelogram bisect each other.

Coordinates of the midpoint of AC =Coordinates of the midpoint of BD

Hence, the other vertices of parallelogram are (1,-12) and (5,-10)