Final answer:
The rule for a 90° counter clockwise rotation about the origin is to transform a point with coordinates (x, y) to (-y, x), resembling the directional path changes observed in rotating systems.
Step-by-step explanation:
The rule for a 90° counter clockwise rotation about the origin in mathematics involves transforming the coordinates of points on the plane. If you have a point with coordinates (x, y), after a 90° counter clockwise rotation around the origin, the new coordinates of the point will be (-y, x). This transformation reflects the direction of rotation and the specific angle, which in this case is a quarter turn counter clockwise.
For example, if you begin with a point at (3, 4), after a 90° counter clockwise rotation, the point will be positioned at (-4, 3). The point's new location reflects the change in position due to the rotation. The process metaphorically resembles the merry-go-round examples in the reference material, where rotation direction influences the movement path of objects.