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)
The new point when the figure is rotated counterclockwise about the origin 180 degrees is (-x, -y).
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?
To rotate a point (x, y) counterclockwise about the origin by 180 degrees, you can use the following formulas:
New x-coordinate: x' = -x
New y-coordinate: y' = -y
Applying these formulas to the point (-6, 4), we have:
New x-coordinate: x' = -(-6) = 6
New y-coordinate: y' = -(4) = -4
So the new point when the line segment is rotated counterclockwise about the origin 180 degrees is (6, -4).