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:

\[ (x, y) \rightarrow (-x, -y) \]

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