Question

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

Explanation:

Step1: Observe the orientation change

By looking at the pre - image (blue rectangle) and the image (red rectangle), we can determine the angle of rotation.

Step2: Determine counter - clockwise rotation

The pre - image is rotated 90 degrees counter - clockwise about the origin to get the image. So for counter - clockwise rotation, the angle is 90 degrees.

Step3: Determine clockwise rotation

Since a full rotation is 360 degrees, a 90 - degree counter - clockwise rotation is equivalent to a 270 - degree clockwise rotation.

Step4: Find the rotation rule

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

Answer:

a. 90 degrees
b. 270 degrees
\((x,y)\to(-y,x)\)