Pre-Algebra - TRANSFORMATIONS - Livingston Public Schools

Pre-Algebra

TRANSFORMATIONS

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Write a rule to describe each transformation.

1)

y

B'

A' N'

3)

U'

x

AN B

y

C' C

U

Name___________________________________ Date________________ Period____

2) y J'

J

S' U

N S

U'

N'

x

4)

y

R

I

L' L

x

V

V'

x

5)

W

J

W' y J' F

F'

x

R'

6)

A

I'

y

R

N

x

R'

N'

A'

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-1-

Worksheet by Kuta Software LLC

Translate the figure as indicated. Label the image using prime notation.

7) translation: 3 units right and 3 units down

W

y

C N

8) translation: 4 units left and 1 unit up

y

T

x

H

x

F

S

P

9) translation: 5 units left and 2 units up

y

J

I

x

M

10) translation: 2 units right and 5 units down

V

yZ

B

S

x

11) translation: 2 units right and 2 units up

y

U

x

M

I

12) translation: 4 units right and 1 unit up

y

A

N

T

x

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-2-

Worksheet by Kuta Software LLC

Reflect the figure as indicated. Label the image using prime notation.

13) reflection across the x-axis

y

14) reflection across the x-axis

Q

y

C

Z

F

x

x

K

V

15) reflection across the y-axis

y

16) reflection across the x-axis

y

J

x

D P

17) reflection across the y-axis

y

M S

W

x

N

I

x

Y

W

18) reflection across the y-axis

y

I

P

Q

x

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-3-

Worksheet by Kuta Software LLC

Rotate the figure as indicated. Label the image using prime notation.

19) rotation 180? about the origin

y

H ZN

20) rotation 90? counterclockwise about the origin

y

A

W

D

x

G

x

21) rotation 90? counterclockwise about the origin

y

B

x

N E

23) rotation 90? clockwise about the origin

y

22) rotation 180? about the origin

y

T H

B

x

24) rotation 180? about the origin

y

Z

x

D

P

H

x

Z Y

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-4-

Worksheet by Kuta Software LLC

Pre-Algebra

TRANSFORMATIONS

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Write a rule to describe each transformation.

1)

y

B'

A' N'

x

AN

B

reflection across the x-axis

3) y

U'

C' C

U

Name___________________________________ Date________________ Period____

2) y

J'

U'

J

S' U

N'

x

N S

translation: 4 units right and 4 units up

4)

y

R

I

L' L

x

V

V'

x

reflection across the y-axis 5)

W' y W

J' J

F'

F

x

I' R'

rotation 180? about the origin

6) y R A

N

x

R'

N'

translation: 4 units right and 1 unit up

A'

rotation 90? counterclockwise about the origin

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-1-

Worksheet by Kuta Software LLC

Translate the figure as indicated. Label the image using prime notation.

7) translation: 3 units right and 3 units down

W

y

C

N W'

T N'

C'

x

T'

8) translation: 4 units left and 1 unit up

y

H' F'

H

x

F S'

S

P' P

9) translation: 5 units left and 2 units up

J'

y

J I'

I

M'

x

M

10) translation: 2 units right and 5 units down

V

yZ

B V'

B'

S Z'

x

S'

11) translation: 2 units right and 2 units up

y

U'

U

x

M'

I'

M

I

12) translation: 4 units right and 1 unit up

y

A'

N'

A

N

T' T

x

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-2-

Worksheet by Kuta Software LLC

Reflect the figure as indicated. Label the image using prime notation.

13) reflection across the x-axis

y

V'

K'

14) reflection across the x-axis

Q

y

C

Z

F

F'

x

x

K

V

C'

Z'

Q'

15) reflection across the y-axis

y

16) reflection across the x-axis

y

W'

J D

J'

x

D'

P' P

17) reflection across the y-axis

y

W'

W

x

N'

M' M

N

S'

S

Y' I

I'

x

Y

W

18) reflection across the y-axis

y

I

I'

P

Q Q'

P'

x

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-3-

Worksheet by Kuta Software LLC

Rotate the figure as indicated. Label the image using prime notation.

19) rotation 180? about the origin

y

H ZN

20) rotation 90? counterclockwise about the origin

y

A

W

D

x

N' Z'

W'

G' G

x

H' A' D'

21) rotation 90? counterclockwise about the origin

y

B E' x

N

EB'

N'

22) rotation 180? about the origin

y

T H

B'

B

x

H' T'

23) rotation 90? clockwise about the origin

y

Z

x

D'

Z'

P'

D

P

24) rotation 180? about the origin

y

Y' Z'

H'

H

x

Z Y

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-4-

Worksheet by Kuta Software LLC

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