Given a point (x, y)

on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?(1 point)
(
,
)

1 answer

To find the new point after rotating a point \((x, y)\) counterclockwise about the origin by 180 degrees, you can use the following transformation:

The coordinates of the new point \((x', y')\) will be:

\[ x' = -x \] \[ y' = -y \]

Thus, the new point after a 180-degree rotation is \((-x, -y)\).