Rotate the point (-4, -6) on a geometric figure 180 degrees counterclockwise. What is the new point?

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

To rotate a point 180 degrees counterclockwise, we simply change the signs of both the x-coordinate and the y-coordinate.

The original point is (-4, -6).

When we change the signs, the new point is (4, 6).

Therefore, the correct answer is option 1: (4, 6).