Given a point (−6, 4)

Question

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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Answer 1

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 \((6, -4)\).