Reflection in the x-axis

Reflection in the x-axis

How to solve the reflection in the x-axis problems: formula, example, and its solution.

Formula

The image of a point (x, y), whose image is under a reflection in the x-axis, is (x, -y).

The image of a point (x, y),
whose image is under a reflection in the x-axis,
is (x, -y).

Example

Triangle ABC has vertices A(1, 2), B(5, 4), and C(3, 1). Its image is under a reflection in the x-axis. Find the coordinates of the vertices of the image.

Reflection in the x-axis:
(x, y) → (x, -y)