Rotation of 180 about the origin?

A rotation of 180 degrees about the origin in a Cartesian coordinate system transforms any point ((x, y)) to ((-x, -y)). This means that the point is flipped to the opposite side of the origin, effectively reflecting it across both axes. This transformation maintains the distance from the origin but reverses the direction. As a result, the shape and size of geometric figures remain unchanged, but their positions are inverted.