rotations practice answers

1. A 30-degree clockwise rotation of the point (2, 5) is (-5, 2).

2. A 90-degree counterclockwise rotation of the point (-3, 4) is (4, 3).

3. A 180-degree clockwise rotation of the point (0, -7) is (0, 7).

4. A 270-degree counterclockwise rotation of the point (6, 0) is (0, -6).

5. A 45-degree clockwise rotation of the point (-1, -1) is (0, -√2).

6. A 60-degree counterclockwise rotation of the point (√3, -1) is (-1/2, √3/2).

7. A 120-degree clockwise rotation of the point (-2, -4) is (1, -3√3).

8. A 270-degree counterclockwise rotation of the point (√2, √2) is (0, 2√2).