Infinite Geometry - Rotations

MGSE8.G:1-5

Name___________________________________ ID: 1

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Rotations

Date________________ Period____

Graph the image and list the coordinates of the new figure using the transformation given.

1) rotation 90? clockwise about the origin

y

2) rotation 180? about the origin

y

G

L I

x

D

W

x

M W

3) rotation 90? counterclockwise about the origin

Ay

V L

Jx

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

4) rotation 180? about the origin

M(-5, -3), Q(-4, 0), Y(-1, -2), U(-1, -3)

A) Q'(0, 0), Y'(-3, -2), U'(-3, -3), M'(1, -3) B) M'(3, -5), Q'(0, -4), Y'(2, -1), (3, -1) C) M'(-3, 5), Q'(0, 4), Y'(-2, 1), (-3, 1) D) M'(5, 3), Q'(4, 0), Y'(1, 2), (1, 3)

5) rotation 90? clockwise about the origin

J(-2, 3), G(1, 5), H(3, 1)

Worksheet by Kuta Software LLC

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Write a rule to describe each transformation.

6)

Wy

7) y

U I'

I

x

U'

N' Y

x

N

Z Y'

Z'

W'

A) reflection across y = 1

B) rotation 180? about the origin C) reflection across the x-axis D) rotation 90? counterclockwise about the

origin

Graph the image of the figure and list the coordinates of the new image. using the transformation given.

8) translation: (x, y) ? (x + 1, y + 1)

y

Z

x

S

M

Worksheet by Kuta Software LLC

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Write a rule to describe each transformation. 9)

y P'

P

R'

S'

R

S

x

10) H(1, 0), P(3, 3), L(4, 0)

to

H'(2, -3), P'(4, 0), L'(5, -3)

Graph the image of the figure and list the points of the new image using the transformation given.

11) reflection across the y-axis

y

U

x

F

D

Write a rule to describe each transformation. 12)

y

U'

U

X' N'

S' S

X

x

N

13) Z(0, 0), M(3, 4), L(5, 1)

to

M'(-3, 4), L'(-5, 1), Z'(0, 0)

Worksheet by Kuta Software LLC

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MGSE8.G:1-5

Name___________________________________ ID: 1

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Rotations

Date________________ Period____

Graph the image and list the coordinates of the new figure using the transformation given.

1) rotation 90? clockwise about the origin

y

2) rotation 180? about the origin

y

G

L

I I'

W'

x

L' M

W

D

W

W'

x

D'

G'

3) rotation 90? counterclockwise about the origin

V'

Ay

V L

A'

L'

Jx

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

4) rotation 180? about the origin

M(-5, -3), Q(-4, 0), Y(-1, -2), U(-1, -3)

A) Q'(0, 0), Y'(-3, -2), U'(-3, -3), M'(1, -3) B) M'(3, -5), Q'(0, -4), Y'(2, -1), (3, -1) C) M'(-3, 5), Q'(0, 4), Y'(-2, 1), (-3, 1) *D) M'(5, 3), Q'(4, 0), Y'(1, 2), (1, 3)

5) rotation 90? clockwise about the origin

J(-2, 3), G(1, 5), H(3, 1)

J'(3, 2), G'(5, -1), H'(1, -3)

Worksheet by Kuta Software LLC

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Write a rule to describe each transformation.

6)

7)

Wy

rotation 90? countercloc

y

origin

U I'

I

x

U'

N' Y

x

N

Z Y'

Z'

W'

A) reflection across y = 1

*B) rotation 180? about the origin C) reflection across the x-axis D) rotation 90? counterclockwise about the

origin

Graph the image of the figure and list the coordinates of the new image. using the transformation given.

8) translation: (x, y) ? (x + 1, y + 1)

y

Z' Z

S'

x

S

M' M

Worksheet by Kuta Software LLC

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