Question

Prove that the points (-4, -1), (-2, -4), (4, 0) and (2, 3) are the vertices of a rectangle.

Answer 1

Let A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) be the given points

Coordinates of the mid-point of AC are 

Coordinates of the mid-point of BD are

Thus AC and BDhave the same mid-point

Hence ABCDis a rectangle