As we know that, the perpendicular bisector of the any line segment divides the line segment into two equal parts i.e., the perpendicular bisector of the line segment always passes through the mid - point of the line segment.

As mid - point of any line segment which passes through the points

(x₁, y₁) and (x₂, y₂) is;

=

So mid - point of the line segment joining the points A (- 2, - 5) and B (2, 5) will be;

= = (0, 0)

Hence, (0, 0) is the required point lies on the perpendicular bisector of the lines segment.