Question

What is the result of rotating the point (-5,6) counterclockwise around the origin by 180 degrees?

1) (-5,-6)
2) (5,-6)
3) (5,6)
4) (-5,6)

Answer 1

After rotating the point (-5,6) counterclockwise by 180 degrees around the origin, the new coordinates become (5,-6).

Step-by-step explanation:

The question is asking for the new coordinates of the point (-5,6) after it has been rotated counterclockwise by 180 degrees around the origin. In a 180-degree rotation, every point on the plane is mirrored over the origin to its opposite quadrant. The x-coordinate and y-coordinate both change sign, so the point (-5,6) becomes (5,-6). Therefore, the correct answer is (5,-6).