RotationReflectionTranslation

The

grid

Quadrant 2(-x,+y)

Quadrant 3(-x,-y)

Quadrant 1(+x,+y)

Quadrant 4(+x,-y)

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)

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.

.

.

.

.

.

.

.

(-4,+5)

(-5,-4)

(+5,+4)

(+4,-5)

(+5,

+4)

Rot

ation

(ex#

1)

90⁰ CCW270⁰ CW

180⁰ 90⁰ CW270⁰ CCW

(-4,

+5)

Rot

ation

(ex#

2) (-4,+5)

(-5,-4)

(+5,+4)

(+4,-5)

90⁰ CW270⁰ CCW

180⁰90⁰ CCW270⁰ CW

(-4,+5)

(-5,-4)

(+5,+4)

(+4,-5)

(-5,

-4)

Rot

ation

(ex#

3)

90⁰ CW270⁰ CCW

180⁰

90⁰ CCW270⁰ CW

(+4,

-5)

Rot

ation

(ex#

4) (-4,+5)

(-5,-4)

(+5,+4)

(+4,-5)

90⁰ CW270⁰ CCW

180⁰

90⁰ CCW270⁰ CW

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

EndStart

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

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.

(-5,+4)

(-5,-4)

(+5,+4)

(+5,-4)X-ax

is

Refl

ectio

n

(-5,+4)

(-5,-4)

(+5,+4)

(+5,-4)Y-ax

is

Refl

ectio

n

Tran

slati

on

( +5 , +4 )

( X , Y )

+3Up “3”

-9

Right “4” +4

Left “12” -12

Down “9”

( -3 , -2 )

Tran

slati

on (+5,+4)

Up “3”Right “4”

Left “12”Down “9”

(-3,-2)

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..

..

Mathematics HomeworkThursday May 29, 2014

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

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

(x,y)

Rotation 90° 180° 270°Spin

ClockwiseCounter

Clockwise

(y,x) (x,y) (y,x)

ReflectionFlip

(x,y)

(x,y)

Over the x-axis Over the y-axis

(x,y) (x,y)

Right(x +n)

Left(x -n)

Up(y +n)

Down(y -n)

Translation Slide