Final answer:
The question pertains to finding new coordinates after rotating points 90 degrees about the origin. New coordinates follow the transformation where x' = -y and y' = x. However, without the original coordinates of points P, Q, and R, we're unable to verify the given options for the new positions of P', Q', and R'.
Step-by-step explanation:
The student has asked to find the coordinates of points P', Q', and R' after a rotation of 90 degrees about the origin (0,0). When we rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates (x', y') can be found using the transformation equations:
x' = -y
y' = x
Let's use this to find the new coordinates for each point:
For P, if we assume P has coordinates (x, y) before the rotation, then after the rotation P' will have coordinates (-y, x). Without the original coordinates of P, we cannot provide the exact new coordinates.
For Q, the same rules apply, resulting in Q' having coordinates (-y, x).
For R, again R' will have coordinates (-y, x).
However, we need the original coordinates of points P, Q, and R to provide specific new coordinate values for P', Q', and R'. Since we don't have those original coordinates, we cannot verify the given options A, B, C, or D accurately.