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)

Answer 1

The new point when the figure is rotated counterclockwise about the origin 180 degrees is (-x, -y).

Answer 2

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?

Answer 3

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).