Question

If the x axis is the perpendicular bisector of a segment with an endpoint (2,3), what are the of the other endpoint of the segment?

Answer 1

(2, -3)

Explanation:

You want the other endpoint of a segment with one endpoint (2, 3) and the x-axis as its perpendicular bisector.

Reflection

A line of reflection is the perpendicular bisector of the segment joining a point with its reflected image. The image of a point reflected across the x-axis has the same coordinates, but with the opposite y-coordinate.

(x, y) ⇒ (x, -y) . . . . . reflection in the x-axis

(2, 3) ⇒ (2, -3) . . . . point (2, 3) reflected in the x-axis

The endpoint of the segment is (2, -3).