1. 9.3 – Perform Reflections

2. Reflection: Transformation that uses a line like a mirror to reflect an image Line of Reflection: Mirror line in a reflection

3. A reflection in a line m maps every point P in the plane to a point, such that: If P is not on m, then m is the perpendicular bisector of If P is on m, then

5. P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the x-axis changes (x, y) into _______ (x, –y) x – axis

6. P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the y-axis changes (x, y) into _______ (–x, y) y – axis

7. P Reflect point P(5, 7) in the given line. P(5, 7) becomes A reflection in the y = x changes (x, y) into _______ (y, x) y = x

8. 9.4 – Perform Rotations

9. Rotation: Transformation that turns a figure about a fixed point Center of Rotation: The point that the rotation happens around Angle of Rotation: Degree the figure is rotated counterclockwise

10. A rotation about a point P through an angle of x° maps every point Q in the plane to a point such that: If Q is not the center of rotation, then and P Q x°x°

11. A rotation about a point P through an angle of x° maps every point Q in the plane to a point such that: If Q is the center of rotation, then Q

12. 1. Match the diagram with the angle of rotation. B. 90°

13. 1. Match the diagram with the angle of rotation. A. 30°

14. 1. Match the diagram with the angle of rotation. C. 150°

16. State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 180°

17. State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 90°

18. State if the rotation is 90°, 180°, or 270° counter-clockwise. Counter-clockwise degree of rotation: _______ 270°

19. 6. Find the value of each variable in the rotation. x = 4 z =3 y = z + 2 y = 3 + 2 y = 5

20. 6. Find the value of each variable in the rotation. 4s = 24 s = 6 r = 2s – 3 r = 2(6) – 3 r = 9 r = 12 – 3