Question

for a 90 - degree clockwise rotation, which of the following steps is correct? a. swap the coordinates and change the sign of the new y - coordinate b. reflect the figure over the y - axis c. swap the coordinates and change the sign of the new x - coordinate d. change both coordinates to their opposites

Explanation:

In a 90 - degree clockwise rotation of a point (x, y) in a coordinate - plane, the transformation rule is (x, y)→(y, - x). This means we swap the x and y coordinates and change the sign of the new y - coordinate. Reflecting over the y - axis is (x, y)→(-x, y), swapping coordinates and changing the sign of the new x - coordinate is for a 90 - degree counter - clockwise rotation, and changing both coordinates to their opposites is a 180 - degree rotation.

Answer:

A. Swap the coordinates and change the sign of the new y - coordinate