Question

identifying a rotation tell whether the blue figure is a rotation of the red figure about the origin. if so, give the angle and direction of rotation. 9. 10. 11. 12.

Explanation:

Step1: Analyze figure 9

Observe orientation change.
The blue figure is a 180 - degree rotation of the red figure about the origin in the counter - clockwise (or clockwise as 180 - degree rotation is the same in both directions for this purpose) direction.

Step2: Analyze figure 10

Check for rotation.
The blue figure is not a rotation of the red figure about the origin.

Step3: Analyze figure 11

Examine orientation change.
The blue figure is a 180 - degree rotation of the red figure about the origin in the counter - clockwise (or clockwise) direction.

Step4: Analyze figure 12

Check for rotation.
The blue figure is a 90 - degree counter - clockwise rotation of the red figure about the origin.

Answer:

1. Yes, 180 degrees, either direction
2. No
3. Yes, 180 degrees, either direction
4. Yes, 90 degrees counter - clockwise