Solution:
To perform a 90-degree counterclockwise rotation around the origin on a coordinate plane, you can use the following rule:If the original point is (x, y), the coordinates after a 90-degree counterclockwise rotation will be (-y, x).Now let's apply this rule to the vertices of the figure:- For point R (at approximately -7, -3), after rotation it will become (3, -7).- For point S (at approximately -2, -3), after rotation it will become (3, -2).- For point T (at approximately -2, -8), after rotation it will become (8, -2).- For point Q (at approximately -7, -8), after rotation it will become (8, -7).Please verify the exact coordinates on the graph as they could be slightly different from the estimates I provided based on the image.