Question

The x-axis is the perpendicular bisector of the line segment joining the points (2,9) and (x,y). Find (x,y).

Answer 1

(2,-9).

Explanation:

It is given that the x-axis is the perpendicular bisector of the line segment joining the points (2,9) and (x,y).

It means x-axis is the line of reflection and (x,y) is the image of (2,9) across the x-axis.

Rule of reflection is

`(x,y)\to (x,-y)`

`(2,9)\to (2,-9)`

The point (2,-9) is the mirror image of (2,9) across the x-axis.

Therefore, the point (x,y) is (2,-9).