Warm up1. Write the rule for translating left 4 units

and up 6 units.2. Write the rule for reflecting over the x-

axis.3. Write the rule for reflecting over the line

y=x.4. Write the rule for reflecting over the y-

axis.5. Write the rule for reflecting over the line y=-x.

Warmup The table below shows the number of people

per 100,000 that were unemployed in the state of Georgia the selected years. a) Find the regression equation appropriate for this data set. Round values to two decimal places.

Let x = 0 correspond to 1960.

Year 2000

2003 2008 2010 2011 2012

Unemployed

559 483 412 322 258 240

Y=-25.95x + 569

Rotations

RotationsA rotation is a ________ around a center.

The _______________ from the center to any point on the shape stays the ___________.

turn

distancesame

Rotate 90 Clockwise about the Origin

Change the sign of x and switch the order

x,y y, x

Rotate 90° clockwiseabout the origin

A( 7, 3) A'( , )B(1, 4) B'( , )C(3, 1) C '( , )

Rotate 90° clockwiseabout the origin

A( 7, 3) A' 3,7B(1, 4) B' 4, 1C(3, 1) C ' 1, 3

Rotate 90° counterclockwiseabout the origin

E 7,2 E'( , )F 2 , 3 F' ( , )G 5,0 G '( , )

Rotate 90° counterclockwiseabout the origin

EF

G

Rotate 90 Counterclockwise about the

Origin(Same as 270 Clockwise)

x,y y,x

Rotate 90° counterclockwiseabout the origin

E

FG

Get the points of where they should be….then graph them!

EF

G

90°CW

180°

CWE

FG

270°

CW

Rotate 90° counterclockwiseabout the origin

Change the sign of y and switch the order

E 7,2 E'( -2 , -7)F 2 , 3 F' ( -3 , 2 )G 5,0 G '( 0 , 5 )

EF

G

Rotate 270 Clockwise about the Origin

Change the sign of y and switch the order

x,y y,x

Rotate 270° clockwiseabout the origin

E( 3, 2) ( , )F( 6, 5) ( , )G(0, 2) ( , )

Rotate 270° clockwiseabout the origin

E( 3, 2) E' 2, 3F( 6, 5) F' 5, 6G(0, 2) G ' 2,0

Rotate 270 Counterclockwiseabout the Origin

(Same as 90 Clockwise)

Change the sign of x and switch the order

x,y y, x

Rotate 270° Counterclockwiseabout the origin

A 2, 2 A'( , )B 6, 8 B'( , )C 8, 2 C '( , )

Rotate 270° Counterclockwiseabout the origin

A

B

C

Rotate 270° Counterclockwiseabout the origin

Get the points of where they should be….then graph them!

A’

B’C’

90°CW

Rotate 270° Counterclockwiseabout the origin

A 2, 2 A'( 2 , -2 )B 6, 8 B'( 8 , -6)C 8, 2 C '( 2 , -8 )

A

B

C

Rotate 180 about the Origin

ONLY Change the signs

,,y yx x

Rotate 180° about the origin

Q( 6, 5) Q '( , )R( 0, 2) R'( , )S( 3, 2) S'( , )

Rotate 180° about the origin

QR

S

Rotate 180° about the origin

Q

RS

Get the points of where they should be….then graph them!

90°CW

QR

S180

°CW

Rotate 180° about the origin

Q( 6, 5) Q '(6 , -5)R( 0, 2) R'( 0 , -2)S( 3, 2) S'( 3 , 2)

QR

S

ClassworkRotations Practice

Worksheet