Given a point (x, y)

Question

(
x
,

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

Answer 1

When a point $(x,y)$ is rotated counterclockwise about the origin by 180 degrees, the new coordinates of the point can be found using the following transformation:

$$(x,y)\to (-x,-y)$$

Therefore, after a 180-degree rotation, the new point will be $(-x,-y)$.