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)

Answer 1

To find the new point after rotating the point \((-6, 4)\) counterclockwise about the origin by 180 degrees, we can use the transformation for a 180-degree rotation.

The formula for rotating a point \((x, y)\) by 180 degrees around the origin is given by:

\[ (x', y') = (-x, -y) \]

Applying this to the point \((-6, 4)\):

\[ x' = -(-6) = 6 \] \[ y' = -4 = -4 \]

So the new point after the rotation is:

\[ (6, -4) \]

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