The correct answer is:
A. Correct. He transformed the triangle according to the rule (x, y) --> (-y, x).
Step-by-step explanation:
The coordinates of the pre-image are:
F(3, 2); G(1, 2); and H(4, 5)
The coordinates of the image are:
F'(-2, 3); G'(-2, 1); and H'(-5, 4)
The x- and y-coordinates have been switched, and the y-coordinate has been negated. Algebraically, (x, y)→(-y, x). Yes, he performed it correctly.