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

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Presentation on theme: "Rotation Reflection Translation. The grid Quadrant 2 (-x,+y) Quadrant 3 (-x,-y) Quadrant 1 (+x,+y) Quadrant 4 (+x,-y)"— Presentation transcript:

1 Rotation Reflection Translation

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

3

4 90⁰ CW Rotation (+4,-5) (+5,+4) EndStart 90⁰ CCW Rotation (-4,+5) (+5,+4) 180⁰ CW Rotation (-5,-4) (+5,+4) 270⁰ CW Rotation (-4,+5) (+5,+4) 270⁰ CCW Rotation (+4,-5) (+5,+4)

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

6 (-4,+5) Rotation (ex#2) (-4,+5) (-5,-4) (+5,+4) (+4,-5) 90⁰ CW 270⁰ CCW 180⁰ 90⁰ CCW 270⁰ CW

7 (-4,+5) (-5,-4) (+5,+4) (+4,-5) (-5,-4) Rotation (ex#3) 90⁰ CW 270⁰ CCW 180⁰ 90⁰ CCW 270⁰ CW

8 (+4,-5) Rotation (ex#4) (-4,+5) (-5,-4) (+5,+4) (+4,-5) 90⁰ CW 270⁰ CCW 180⁰ 90⁰ CCW 270⁰ CW

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10 X-axis Reflection (+5,-4) (+5,+4) EndStart Y-axis Reflection (-5,+4) (+5,+4)....

11 (-5,+4) (-5,-4) (+5,+4) (+5,-4) X-axis Reflection

12 (-5,+4) (-5,-4) (+5,+4) (+5,-4) Y-axis Reflection

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

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

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

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

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

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

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

21 Review

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

23 ReflectionFlip (x,y)

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

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