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Rotation Reflection Translation

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

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

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**(-4,+5) (+5,+4) (+5,+4) Rotation (ex#1) (-5,-4) (+4,-5)**

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

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**(-4,+5) (+5,+4) (-4,+5) Rotation (ex#2) (-5,-4) (+4,-5)**

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

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**(-4,+5) (+5,+4) (-5,-4) Rotation (ex#3) (-5,-4) (+4,-5)**

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

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**(-4,+5) (+5,+4) (+4,-5) Rotation (ex#4) (-5,-4) (+4,-5)**

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

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Start End . X-axis Reflection (+5,+4) (+5,-4) . . . Y-axis Reflection (+5,+4) (-5,+4)

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

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

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**( X , Y ) ( +5 , +4 ) +3 Translation +4 -9 -12 ( -3 , -2 )**

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

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

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

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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”

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

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

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

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

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Review

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

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

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

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