Question

Find the coordinates of the image after the transformation: rotate 90 degrees clockwise about the origin.

A. (x, y) remains the same
B. (y, -x)
C. (-x, -y)
D. (-y, x)

Answer 1

The coordinates of the image after a 90-degree clockwise rotation about the origin are (-y, x), which corresponds to option D.

Step-by-step explanation:

When we apply a 90-degree clockwise rotation about the origin to a point with coordinates (x, y), the new coordinates of the image become (-y, x). This transformation can be understood by considering the effects of rotating the entire coordinate system 90 degrees clockwise: the x-axis becomes the new y-axis, and the y-axis becomes the negative of the old x-axis. Therefore, the correct answer to the question is D. (-y, x).