Question

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)
(
,
)

Answer 1

To find the new coordinates of the point \((-6, 4)\) when it is rotated counterclockwise 180 degrees about the origin, you can use the rule for rotation by 180 degrees. The rule states that when a point \((x, y)\) is rotated 180 degrees about the origin, the new coordinates become \((-x, -y)\).

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

- The new x-coordinate is \(-(-6) = 6\)
- The new y-coordinate is \(-4\)

Putting these together, the new point after the rotation is \((6, -4)\).

So the new point is:

\[
(6, -4)
\]