The grid shows figure q and its image figure q' after a transformation: figure q is a pentagon drawn on a 4 quadrant grid with vertices at 2, 4 and 4, 2 and 5, 4 and 7, 5 and 3, 7. figure q prime is which transformation was applied on figure q? a. counterclockwise rotation of 90° about the origin b. counterclockwise rotation of 270° about the origin c. clockwise rotation of 90° about the origin d. clockwise rotation of 180° about the origin

Option D. Clockwise rotation of 180° about the origin.

Solution:

The figure Q in in the I (first) quadrant, and the figure Q' is in the III (third) quadrant.

Option A. Counterclockwise rotation of 90° about the origin would translate the figure Q to the II (second) quadrant.

Option B. Counterclockwise rotation of 270° about the origin would translate the figure Q to the IV (fourth) quadrant.

Option C. Clockwise rotation of 90° about the origin would translate the figure Q to the IV (fourth) quadrant.

Option D. Clockwise rotation of 180° about the origin would translate the figure Q to the III (third) quadrant.