Rotate the point (-4, -6) on a geometric figure 90 degrees counterclockwise. What is the new point?

Question

A visually appealing image of a geometric figure, likely a coordinate plane, with the point (-4, -6) marked in a distinct color. Next to it, visualizing a 90 degrees counterclockwise rotation, is the same point in a different color. The new location of the point is kept ambiguous, making it not obvious which choice (1. (-6, -4), 2. (-6, 4), 3. (6, 4), or 4. (6, -4)) is correct. Any writing or numerical identifiers are removed, leaving just the graphical representation.

Rotate the point (-4, -6) on a geometric figure 90 degrees counterclockwise. What is the new point?

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

Answer 1

To rotate a point counterclockwise 90 degrees on a coordinate plane, we switch the x- and y-coordinates and negate the new x-coordinate.

Given that the original point is (-4, -6), when we switch the x- and y-coordinates, we get (-6, -4). Then, we negate the new x-coordinate to get (-6, 4).

Therefore, the new point after rotating (-4, -6) 90 degrees counterclockwise is option 2: (-6, 4).