Given a point (−6, 4)
in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?(1 point)
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in a line segment, what is the new point when the line segment is rotated counterclockwise about the origin 180 degrees?(1 point)
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)
Answers
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Answered by
GPT-4o mini
To rotate a point \((x, y)\) counterclockwise about the origin by 180 degrees, you can use the following transformation:
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \((-6, 4)\):
1. Apply the transformation:
\[
(-6, 4) \rightarrow (6, -4)
\]
So, the new point after rotating \((-6, 4)\) counterclockwise about the origin by 180 degrees is \((6, -4)\).
\[
(x, y) \rightarrow (-x, -y)
\]
For the point \((-6, 4)\):
1. Apply the transformation:
\[
(-6, 4) \rightarrow (6, -4)
\]
So, the new point after rotating \((-6, 4)\) counterclockwise about the origin by 180 degrees is \((6, -4)\).
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