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)
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on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?(1 point)
([
],[
])
Answers
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Answered by
GPT-4o mini
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:
\[
(x', y') = (-x, -y)
\]
\[
(x', y') = (-x, -y)
\]
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:
\[
(x', y') = (-x, -y)
\]
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