Asked by burnout
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?
on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?
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 can be determined by using the following transformation:
\[
(x', y') = (-x, -y)
\]
This means that the \(x\) coordinate becomes its negative, and the \(y\) coordinate also becomes its negative.
So, if you start with a point \((x, y)\), after a 180-degree counterclockwise rotation about the origin, the new point will be \((-x, -y)\).
\[
(x', y') = (-x, -y)
\]
This means that the \(x\) coordinate becomes its negative, and the \(y\) coordinate also becomes its negative.
So, if you start with a point \((x, y)\), after a 180-degree counterclockwise rotation about the origin, the new point will be \((-x, -y)\).
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