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¡ã clockwise about the origin

2) rotation 180¡ã about the origin

y

y

G

D

L

W

I

x

x

M

W

3) rotation 90¡ã counterclockwise about the

origin

A y

V

L

Jx

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

4) rotation 180¡ã 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¡ã clockwise about the origin

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

Worksheet by Kuta Software LLC

-1-

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Write a rule to describe each transformation.

6)

7)

y

W

y

U

N'

I

Y

x

x

N

I'

U'

Z

Y'

Z'

W'

A)

B)

C)

D)

reflection across y = 1

rotation 180¡ã about the origin

reflection across the x-axis

rotation 90¡ã 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

-2-

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Write a rule to describe each transformation.

9)

y

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

to

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

P'

P

R'

S'

R

S

x

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)

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

to

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

y

U'

U

X'

X

S'

N'

S

x

N

Worksheet by Kuta Software LLC

-3-

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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¡ã clockwise about the origin

2) rotation 180¡ã about the origin

y

y

G

D

L

W

I I'

x

W'

x

W'

L'

D'

M

W

G'

3) rotation 90¡ã counterclockwise about the

origin

A y

V'

V

L

A'

L'

Jx

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

4) rotation 180¡ã 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¡ã 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

-1-

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Write a rule to describe each transformation.

6)

7)

y

W

rotation 90¡ã countercloc

origin

y

U

N'

I

Y

x

x

N

I'

U'

Z

Y'

Z'

W'

A)

*B)

C)

D)

reflection across y = 1

rotation 180¡ã about the origin

reflection across the x-axis

rotation 90¡ã 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

-2-

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