A graph of triangle ABC and its image after a rotation of 180 about the origin is shown in the picture below.
In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Additionally, the mapping rule for the rotation of any geometric figure 180° clockwise or counterclockwise about the origin is represented by the following mathematical expression:
(x, y) → (-x, -y)
Coordinates A (0, 0) → Coordinates A' = (0, 0)
Coordinates B (1, 5) → Coordinates B' = (-1, -5)
Coordinates C (-4, 5) → Coordinates C' = (4, -5)