Question

describe the rotation as a (a) counterclockwise rotation and (b) clockwise rotation. a. 270 degrees counterclockwise rotation about the origin b. 90 degrees clockwise rotation about the origin write a rule for the rotation. (x,y)→(−y,x)

Explanation:

Step1: Recall rotation rules

For a 90 - degree clockwise (or 270 - degree counter - clockwise) rotation about the origin, the rule for transforming a point $(x,y)$ is $(x,y)\to(y, - x)$.

Step2: Determine the correct rule

Since it is a 90 - degree clockwise (or 270 - degree counter - clockwise) rotation, the rule for the rotation of a point $(x,y)$ about the origin is $(x,y)\to(y,-x)$.

Answer:

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