To rotate a point 180 degrees counterclockwise around the origin (0, 0), you can simply negate both the x-coordinate and the y-coordinate of the point.
For point A(2, 6):
- Negate the x-coordinate: -2
- Negate the y-coordinate: -6
Thus, the new coordinates of point A after a 180-degree counterclockwise rotation are:
A'(-2, -6).