Warm UP 3-25-13

Translate (x – 9, y + 8)

1.B (-9, 12)

2.A (-12, -4)

3.T (22, -19)

B’ (-18, 20)

A’ (-21, 4)

T’ (13, -11)

Warm up 3-26-13

Which one is even, odd, or neither?

1. f(x) = x

2. f(x) = 2x2 + 4

3.

odd

even

neither

Translations

Translate the image by (x – 8, y + 2)

C 2,4

A 0, 8

T 3,5

C ' 10,6

A' 8, 6

T' 11,7

Translate the image by (2x + 2, y – 3)

H 1,2

A 3, 5

T 4, 1

H' 4, 1

A' 4, 8

T' 10, 4

Find the pre-image(x + 12, y – 17)

B 7, 12 B' 5, 29

A' 20, 19

T' 21, 4

A 8, 2

T 9,13

Reflections

Reflect across the x-axis

x,y x, y Change the sign of the y-value

Reflect across the x-axis

C 2,4

A 0, 8

T 3,5

C ' 2, 4

A' 0,8

T' 3, 5

Reflect across the y-axis

x,y x,y Change the sign of the x-value

Reflect across the y-axis

H 1,2

A 3, 5

T 4, 1

H' 1,2

A' 3, 5

T' 4, 1

Reflect across the line y = x

x,y y,xSwap x and y

Reflect across y = x

B 7, 12 B' 12, 7

A' 2,8

T' 13,9

A 8, 2

T 9,13

Reflect across the line y = x

Reflect across y = -x

x,y y, x Swap and change both signs

Reflect across the line y = -x

Reflect across y = -x

W 13,21 W' 21, 13

E' 9,2

B' 24, 17

E 2,9

B 17, 24

Reflect across the line y = -x

Lines of Symmetry

• How many lines of symmetry does the polygon have?

3

Lines of Symmetry

• How many lines of symmetry does the shape have?

2

Lines of Symmetry

• How many lines of symmetry does the shape have?

5

ClassworkReflections

by Mira Worksheet

Warm up1. A function is even. Point A(-3, 4) is

on the even function. Name another point.

2. A function is even. Point B(9, 2) is on the even function. Name another point.

3. Reflect C(-5, -3) over the y-axis.4. Reflect D(2, -4) over the x-axis.5. Reflect E(-12, 4) over y = -x.

Review Homework

Skills CheckAre you ready?

Rotations

Rotate 90 Clockwise about the Origin

(Same as 270 Counterclockwise)

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' 3,7

B(1, 4) B' 4, 1

C(3, 1) C ' 1, 3

Rotate 90 Counterclockwise about

the Origin(Same as 270 Clockwise)

Change the sign of y and switch the order

x,y y,x

Rotate 90° counterclockwiseabout the origin

E( 3, 2) ( , )

F( 6, 5) ( , )

G(0, 2) ( , )

Rotate 90° counterclockwiseabout the origin

E( 3, 2) E' 2, 3

F( 6, 5) F' 5, 6

G(0, 2) G ' 2,0

Rotate 180 about the Origin

ONLY Change the signs

,,y yx x

Rotate 180° about the origin

Q( 8, 2) Q '( , )

R( 8, 9) R'( , )

S( 2, 2) S'( , )

T( 2, 9) T'( , )

Rotate 180° about the origin

Q( 8, 2) Q ' 8,2

R( 8, 9) R' 8,9

S( 2, 2) S' 2,2

T( 2, 9) T' 2,9

ClassworkRotations Practice

Worksheet

HomeworkRotations HW

Worksheet