Step 1: Concept
Draw the image after rotated 90 degrees counterclockwise about Q.
Step 2: Find the coordinates of the points.
The transformation rule is (-y, x)
Next, subtract Q from the other points
New coordinate
Q' = (0,0)
P' = (3,0)
R' = (3, -2)
Next, using the transformation rule, find the image of the triangle P'Q'R'
Q'' = (0,0)
P'' = (0,3)
R'' = (2,3)
Step 3: Final answer
The final coordinates
Q''' = (0+1, 0+2) = (1,2)
P''' = (0+1, 3+2) = (1,5)
R''' = (2+1, 3+2) = (3,5)