Reflection in the Origin

Reflection in the Origin

How to solve the reflection in the origin problems: formula, example, and its solution.

Formula

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

The image of a point (x, y),
whose image is under a reflection in the origin,
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 origin. Find the coordinates of the vertices of the image.

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