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Rotation Reflection Translation

Rotation Reflection Translation. Quadrant 2 (- x,+y ). Quadrant 1 (+ x,+y ). The grid. Quadrant 3 (-x,-y). Quadrant 4 (+x,-y). Start. End. ( +5 , +4 ). ( +4 , -5 ). 90 ⁰ CW Rotation. 90⁰ CCW Rotation. ( +5 , +4 ). ( -4 , +5 ). ( +5 , +4 ). ( -5 , -4 ).

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Rotation Reflection Translation

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  1. Rotation Reflection Translation

  2. Quadrant 2 (-x,+y) Quadrant 1 (+x,+y) The grid Quadrant 3 (-x,-y) Quadrant 4 (+x,-y)

  3. Start End . (+5,+4) (+4,-5) 90⁰ CW Rotation . . . 90⁰ CCW Rotation (+5,+4) (-4,+5) . (+5,+4) (-5,-4) 180⁰ CW Rotation . . . (+5,+4) (-4,+5) 270⁰ CW Rotation . (+5,+4) (+4,-5) 270⁰ CCW Rotation .

  4. (-4,+5) (+5,+4) 90⁰ CCW 270⁰ CW (+5,+4) Rotation (ex#1) (-5,-4) (+4,-5) 180⁰ 90⁰ CW 270⁰ CCW

  5. (-4,+5) (+5,+4) 90⁰ CW 270⁰ CCW (-4,+5) Rotation (ex#2) (-5,-4) (+4,-5) 180⁰ 90⁰ CCW 270⁰ CW

  6. (-4,+5) (+5,+4) 90⁰ CW 270⁰ CCW 180⁰ (-5,-4) Rotation (ex#3) (-5,-4) (+4,-5) 90⁰ CCW 270⁰ CW

  7. (-4,+5) (+5,+4) 180⁰ 90⁰ CW 270⁰ CCW (+4,-5) Rotation (ex#4) (-5,-4) (+4,-5) 90⁰ CCW 270⁰ CW

  8. Start End . (+5,+4) (+5,-4) X-axisReflection . . . (+5,+4) (-5,+4) Y-axisReflection

  9. (-5,+4) (+5,+4) X-axisReflection (-5,-4) (+5,-4)

  10. (-5,+4) (+5,+4) Y-axisReflection (-5,-4) (+5,-4)

  11. ( X , Y ) ( +5 , +4 ) +3 Up “3” Translation +4 Right “4” -9 Down “9” -12 Left “12” ( -3 , -2 )

  12. Up “3” . . Right “4” . Down “9” Left “12” (+5,+4) . . Translation (-3,-2)

  13. Mathematics Homework Thursday May 29, 2014 • Problem #3 • (-2,1) • Rotate 270⁰ CW • Reflect over y-axis • Down “7” • Right “4” • Rotate 90⁰ CW • Problem #1 • (-3,8) • Rotate 180⁰ • Reflect over y-axis • Up “6” • Right “7” • Problem #4 • (10,-13) • Left “7” • Up “9” • Reflect over x-axis • Rotate 90⁰ CCW • Reflect over y-axis • Problem #2 • (4,-7) • Rotate 90⁰ CCW • Reflect over x-axis • Down “11” • Left “12”

  14. Problem #1 • (-3,8) • Rotate 180⁰ • Reflect over y-axis • Up “6” • Right “7”

  15. Problem #2 • (4,-7) • Rotate 90⁰ CCW • Reflect over x-axis • Down “11” • Left “12”

  16. Problem #3 • (-2,1) • Rotate 270⁰ CW • Reflect over y-axis • Down “7” • Right “4” • Rotate 90⁰ CW

  17. Problem #4 • (10,-13) • Left “7” • Up “9” • Reflect over x-axis • Rotate 90⁰ CCW • Reflect over y-axis

  18. Review

  19. Rotation Spin (y,x) (x,y) (y,x) (x,y) 90° 180° Counter Clockwise Clockwise 270°

  20. Reflection Flip (x,y) (x,y) (x,y) (x,y) Over the y-axis Over the x-axis

  21. Up (y +n) Left (x -n) Right (x +n) Translation Slide Down (y -n)

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