Question

Given a point (−6, 4)
(
−
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)

Answer 1

To find the new point after rotating the point \((-6, 4)\) counterclockwise about the origin by 180 degrees, we can use the following rule: a rotation of 180 degrees transforms a point \((x, y)\) to \((-x, -y)\).

For the point \((-6, 4)\):

1. Negate the x-coordinate: \(-(-6) = 6\)
2. Negate the y-coordinate: \(-4\)

Thus, the new point after the rotation is \((6, -4)\).