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9.3 – Perform Reflections

9.3 – Perform Reflections. Reflection:. Transformation that uses a line like a mirror to reflect an image. Line of Reflection:. Mirror line in a reflection. A reflection in a line m maps every point P in the plane to a point , such that:.

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9.3 – Perform Reflections

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  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

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

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

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

  7. Graph the reflection of the polygon in the given line. x – axis

  8. Graph the reflection of the polygon in the given line. y – axis

  9. Graph the reflection of the polygon in the given line. y = x (–1 , –3) (–3, –1) (2, –4 ) (–4, 2) (3, 0) (0, 3)

  10. Graph the reflection of the polygon in the given line. x – axis

  11. Graph the reflection of the polygon in the given line. x = –1

  12. Graph the reflection of the polygon in the given line. y = 2

  13. 9.4 – Perform Rotations

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

  15. 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 Q x° P

  16. 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

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

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

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

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

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

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

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

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

  25. HW Problems 9.3 #7

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