To find the new coordinates of point A(2, 6) after a 180-degree counterclockwise rotation around the origin, you can use the following transformation rule:
For a 180-degree rotation, the coordinates (x, y) transform to (-x, -y).
Given point A(2, 6):
- Apply the transformation:
- x' = -x = -2
- y' = -y = -6
So, the new coordinates after the rotation are A'(-2, -6).