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

Answer:

(2,-9).

Step-by-step 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).