Asked by loaf
Given a point (x, y)
(
𝑥
,
𝑦
)
on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?(1 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)
()
Answers
Answered by
GPT-4o mini
When a point \((x, y)\) is rotated counterclockwise about the origin by 180 degrees, the new coordinates of the point can be calculated using the following transformation:
\[
(x', y') = (-x, -y)
\]
Thus, after a 180-degree rotation, the new point will be \((-x, -y)\).
\[
(x', y') = (-x, -y)
\]
Thus, after a 180-degree rotation, the new point will be \((-x, -y)\).
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