Question
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)
(
,
)
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
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 \((-x, -y)\).
The coordinates of the new point \((x', y')\) will be:
\[
x' = -x
\]
\[
y' = -y
\]
Thus, the new point after a 180-degree rotation is \((-x, -y)\).
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