1. The problem asks to identify the rotation rule and the degree and direction of rotation for the transformation of points. 2. For point x: Original (9, 8) to x' (8, -9). 3. The rule for rotation about the origin that sends $(x, y)$ to $(y, -x)$ is a rotation of 90 degrees clockwise. 4. Explanation: Rotating 90 degrees clockwise swaps the coordinates and changes the sign of the new y-coordinate. 5. For point y: Original (-4, 5) to y' (-5, -4). 6. The rule for rotation about the origin that sends $(x, y)$ to $(-y, -x)$ is a rotation of 90 degrees counterclockwise. 7. Explanation: Rotating 90 degrees counterclockwise swaps the coordinates and changes the sign of the new x-coordinate. 8. For point Z: Original (-6, -1) to Z' (6, 1). 9. The rule for rotation about the origin that sends $(x, y)$ to $(-x, -y)$ is a rotation of 180 degrees (direction does not matter as 180 degrees rotation is the same clockwise or counterclockwise). 10. Explanation: Rotating 180 degrees negates both coordinates. Final answers: 7) Rule: $(x, y) \to (y, -x)$ Verbal Description: Rotation 90 degrees clockwise 8) Rule: $(x, y) \to (-y, -x)$ Verbal Description: Rotation 90 degrees counterclockwise 9) Rule: $(x, y) \to (-x, -y)$ Verbal Description: Rotation 180 degrees