Final answer:
After a 180° rotation around the origin, point T (-5, 2) will have new coordinates (5, -2), option B is the correct answer.
Step-by-step explanation:
When point T (-5, 2) is rotated by 180° around the origin, its coordinates change by reversing both the x and y values. This can be visualized as taking point T and flipping it over directly to the opposite quadrant across the origin. In a 180° rotation, the point (-5, 2) would move to the opposite side of both the x and y-axes, resulting in new coordinates (5, -2). Therefore, after a 180° rotation, point T will be at the coordinates (5, -2), which corresponds to option B. The correct answer to "What are the coordinates of point T after a 180° rotation?" is B. (5, -2).