Graph the image of the figure using the transformation given.

[Pages:4]Kuta Software - Infinite Geometry

Name___________________________________

All Transformations

Date________________ Period____

Graph the image of the figure using the transformation given.

1) rotation 90? counterclockwise about the origin

y

2) translation: 4 units right and 1 unit down

y

F

G

Y

Z

x

x

J L

3) translation: 1 unit right and 1 unit up

y

4) reflection across the x-axis

y

T

x

J

M

C M

E

Write a rule to describe each transformation.

5)

6)

y

x

H H'

C C' B B'

J

x

K

y

D E'

D' E

P I I' Px'

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Worksheet by Kuta Software LLC

7) y

F

R I'

E'

E

x

I

R'

F'

8)

X G

y

B

B'

G'

x

X'

Graph the image of the figure using the transformation given.

9) rotation 90? clockwise about the origin

B(-2, 0), C(-4, 3), Z(-3, 4), X(-1, 4)

y

10) reflection across y = x

K(-5, -2), A(-4, 1), I(0, -1), J(-2, -4)

y

x

x

Find the coordinates of the vertices of each figure after the given transformation.

11) rotation 180? about the origin

E(2, -2), J(1, 2), R(3, 3), S(5, 2)

12) reflection across y = 2

J(1, 3), U(0, 5), R(1, 5), C(3, 2)

13) translation: 7 units right and 1 unit down

J(-3, 1), F(-2, 3), N(-2, 0)

14) translation: 6 units right and 3 units down

S(-3, 3), C(-1, 4), W(-2, -1)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

All Transformations

Name___________________________________ Date________________ Period____

Graph the image of the figure using the transformation given.

1) rotation 90? counterclockwise about the origin

y

2) translation: 4 units right and 1 unit down

y

F F'

Z

L'

x

G

Y

G'

Y'

x

J L

Z'

J'

3) translation: 1 unit right and 1 unit up

y

4) reflection across the x-axis

y

K'

J' J

T' T

x

M' M

M'

C

J

x

C'

J'

M

E' E

Write a rule to describe each transformation.

5)

6)

y

K

y

D E'

D' E

x

H H'

C C'

B B'

translation: 1 unit right

P I I' Px'

reflection across x = 3

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-1-

Worksheet by Kuta Software LLC

7) y

F

R I'

E'

E

x

I

R'

F'

reflection across the x-axis

8)

X G

y

B

B'

G'

x

X'

rotation 180? about the origin

Graph the image of the figure using the transformation given.

9) rotation 90? clockwise about the origin

B(-2, 0), C(-4, 3), Z(-3, 4), X(-1, 4)

Z C

y

X

B'

C' Z'

X'

B

x

10) reflection across y = x

K(-5, -2), A(-4, 1), I(0, -1), J(-2, -4)

y

A I'

x

I K J'

J

A'

K'

Find the coordinates of the vertices of each figure after the given transformation.

11) rotation 180? about the origin

E(2, -2), J(1, 2), R(3, 3), S(5, 2)

E'(-2, 2), J'(-1, -2), R'(-3, -3), S'(-5, -2)

12) reflection across y = 2

J(1, 3), U(0, 5), R(1, 5), C(3, 2)

U'(0, -1), R'(1, -1), C'(3, 2), J'(1, 1)

13) translation: 7 units right and 1 unit down

J(-3, 1), F(-2, 3), N(-2, 0)

J'(4, 0), F'(5, 2), N'(5, -1)

14) translation: 6 units right and 3 units down

S(-3, 3), C(-1, 4), W(-2, -1)

S'(3, 0), C'(5, 1), W'(4, -4)

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Worksheet by Kuta Software LLC

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