Question

describe the rotation as a (a) counterclockwise rotation and (b) clockwise rotation.
write a rule for the rotation.
$(x,y)\to(\square,\square)$

Explanation:

Step1: Recall rotation rules

The rule for a \(270^{\circ}\) counter - clockwise rotation about the origin is \((x,y)\to(y, - x)\). The rule for a \(90^{\circ}\) clockwise rotation about the origin is also \((x,y)\to(y, - x)\). Since the rotation described (either \(270^{\circ}\) counter - clockwise or \(90^{\circ}\) clockwise) gives the same transformation.

Answer:

\((x,y)\to(y,-x)\)