Given a point (x, y)

Question

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

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

\[ (x', y') = (-x, -y) \]

This means that both the x-coordinate and the y-coordinate of the point are negated.

So, if your original point is \((x, y)\), after a 180-degree rotation about the origin, the new point will be:

\[ (x', y') = (-x, -y) \]