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Rotation Reflection TranslationPowerPoint Presentation

Rotation Reflection Translation

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Rotation Reflection Translation

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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)

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,+5)

(+5,+4)

90⁰ CCW

270⁰ CW

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

(-5,-4)

(+4,-5)

180⁰

90⁰ CW

270⁰ CCW

(-4,+5)

(+5,+4)

90⁰ CW

270⁰ CCW

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

(-5,-4)

(+4,-5)

180⁰

90⁰ CCW

270⁰ CW

(-4,+5)

(+5,+4)

90⁰ CW

270⁰ CCW

180⁰

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

(-5,-4)

(+4,-5)

90⁰ CCW

270⁰ CW

(-4,+5)

(+5,+4)

180⁰

90⁰ CW

270⁰ CCW

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

(-5,-4)

(+4,-5)

90⁰ CCW

270⁰ CW

Start

End

.

(+5,+4)

(+5,-4)

X-axisReflection

.

.

.

(+5,+4)

(-5,+4)

Y-axisReflection

(-5,+4)

(+5,+4)

X-axisReflection

(-5,-4)

(+5,-4)

(-5,+4)

(+5,+4)

Y-axisReflection

(-5,-4)

(+5,-4)

( X , Y )

( +5 , +4 )

+3

Up “3”

Translation

+4

Right “4”

-9

Down “9”

-12

Left “12”

( -3 , -2 )

Up “3”

.

.

Right “4”

.

Down “9”

Left “12”

(+5,+4)

.

.

Translation

(-3,-2)

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”

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

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

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

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

Review

Rotation

Spin

(y,x)

(x,y)

(y,x)

(x,y)

90°

180°

Counter

Clockwise

Clockwise

270°

Reflection

Flip

(x,y)

(x,y)

(x,y)

(x,y)

Over the y-axis

Over the x-axis

Up

(y +n)

Left

(x -n)

Right

(x +n)

Translation Slide

Down

(y -n)