Rotate the point (-4,-6) on a geometric figure 180 degrees counterclockwise. What is the new point?
A. (6,4)
B. (4,6)
C. (-6,-4)
D. (-4,6)
To rotate a point 180 degrees counterclockwise, we need to change its x-coordinate to the opposite sign (positive becomes negative and negative becomes positive) and change its y-coordinate to the opposite sign.
The original point is (-4,-6). Changing the sign of the x-coordinate gives us (4,-6), and changing the sign of the y-coordinate gives us (-4,6).
Therefore, the new point after rotating 180 degrees counterclockwise is (-4,6).
The correct answer is D. (-4,6).