Given:
The triangle PQR on a coordinate plane.
To find:
The image of point Q after a rotation of 90° counterclockwise about the origin.
Solution:
From the given graph, it is clear that the coordinates of point Q are (5,0).
If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as
Using this rule, we get
So, the image of point Q is (0,5).
Therefore, the correct option is (a).