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Rotation Reflection Translation PowerPoint PPT Presentation


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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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Rotation reflection translation

Rotation

Reflection

Translation


Rotation reflection translation

Quadrant 2

(-x,+y)

Quadrant 1

(+x,+y)

The grid

Quadrant 3

(-x,-y)

Quadrant 4

(+x,-y)


Rotation reflection translation

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

.


Rotation reflection translation

(-4,+5)

(+5,+4)

90⁰ CCW

270⁰ CW

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

(-5,-4)

(+4,-5)

180⁰

90⁰ CW

270⁰ CCW


Rotation reflection translation

(-4,+5)

(+5,+4)

90⁰ CW

270⁰ CCW

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

(-5,-4)

(+4,-5)

180⁰

90⁰ CCW

270⁰ CW


Rotation reflection translation

(-4,+5)

(+5,+4)

90⁰ CW

270⁰ CCW

180⁰

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

(-5,-4)

(+4,-5)

90⁰ CCW

270⁰ CW


Rotation reflection translation

(-4,+5)

(+5,+4)

180⁰

90⁰ CW

270⁰ CCW

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

(-5,-4)

(+4,-5)

90⁰ CCW

270⁰ CW


Rotation reflection translation

Start

End

.

(+5,+4)

(+5,-4)

X-axisReflection

.

.

.

(+5,+4)

(-5,+4)

Y-axisReflection


Rotation reflection translation

(-5,+4)

(+5,+4)

X-axisReflection

(-5,-4)

(+5,-4)


Rotation reflection translation

(-5,+4)

(+5,+4)

Y-axisReflection

(-5,-4)

(+5,-4)


Rotation reflection translation

( X , Y )

( +5 , +4 )

+3

Up “3”

Translation

+4

Right “4”

-9

Down “9”

-12

Left “12”

( -3 , -2 )


Rotation reflection translation

Up “3”

.

.

Right “4”

.

Down “9”

Left “12”

(+5,+4)

.

.

Translation

(-3,-2)


Rotation reflection translation

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”


Rotation reflection translation

  • Problem #1

  • (-3,8)

  • Rotate 180⁰

  • Reflect over y-axis

  • Up “6”

  • Right “7”


Rotation reflection translation

  • Problem #2

  • (4,-7)

  • Rotate 90⁰ CCW

  • Reflect over x-axis

  • Down “11”

  • Left “12”


Rotation reflection translation

  • Problem #3

  • (-2,1)

  • Rotate 270⁰ CW

  • Reflect over y-axis

  • Down “7”

  • Right “4”

  • Rotate 90⁰ CW


Rotation reflection translation

  • Problem #4

  • (10,-13)

  • Left “7”

  • Up “9”

  • Reflect over x-axis

  • Rotate 90⁰ CCW

  • Reflect over y-axis


Rotation reflection translation

Review


Rotation reflection translation

Rotation

Spin

(y,x)

(x,y)

(y,x)

(x,y)

90°

180°

Counter

Clockwise

Clockwise

270°


Rotation reflection translation

Reflection

Flip

(x,y)

(x,y)

(x,y)

(x,y)

Over the y-axis

Over the x-axis


Rotation reflection translation

Up

(y +n)

Left

(x -n)

Right

(x +n)

Translation Slide

Down

(y -n)


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