Final answer:
After analyzing the given points and their mappings post-rotation, it is clear that the rule describing the rotation is a 90-degree counterclockwise turn around the origin, where (x, y) becomes (y, -x). Therefore, the correct option is A. Ro, 90°.
Step-by-step explanation:
The question involves determining the rule describing the rotation of points on a coordinate plane. Given that point A(-3, 4) maps to A'(4,3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1), we need to analyze the transformation of each point.
For A to map to A', we observe that the x-coordinate and y-coordinate have been interchanged and the sign of the original x-coordinate has been changed from negative to positive. This corresponds to a 90-degree rotation counterclockwise. Similarly, in point B, the x-coordinate and y-coordinate are interchanged, and signs inverted, also consistent with a 90-degree rotation counterclockwise. The transformation of point C supports this as well.
Hence, the correct option is A. Ro, 90°, which indicates a 90-degree rotation counterclockwise around the origin. The points after rotation reflect a standard rule of a 90-degree rotation: (x, y) becomes (y, -x).