Rotations of Shapes

Kuta Software - Infinite Pre-Algebra Name___________________________________ Rotations of Shapes Date________________...

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Kuta Software - Infinite Pre-Algebra

Name___________________________________

Rotations of Shapes

Date________________ Period____

Graph the image of the figure using the transformation given. 1) rotation 180° about the origin

2) rotation 90° counterclockwise about the origin

y

y

B

S Q

x

Lx

J

H

3) rotation 90° clockwise about the origin

4) rotation 180° about the origin

y

y

F

B x

M

x

H

H

U

5) rotation 90° clockwise about the origin U(1, −2), W(0, 2), K(3, 2), G(3, −3)

F

6) rotation 180° about the origin V(2, 0), S(1, 3), G(5, 0)

y

y

x

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x

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Worksheet by Kuta Software LLC

Find the coordinates of the vertices of each figure after the given transformation. 7) rotation 180° about the origin Z(−1, −5), K(−1, 0), C(1, 1), N(3, −2)

8) rotation 180° about the origin L(1, 3), Z(5, 5), F(4, 2)

9) rotation 90° clockwise about the origin S(1, −4), W(1, 0), J(3, −4)

10) rotation 180° about the origin V(−5, −3), A(−3, 1), G(0, −3)

Write a rule to describe each transformation. 11)

12)

Q' y

y

N'

N T'

R

S'

E' R' Q

E

U'

X x

X'

U

x

S T

13)

14)

y

y

Y

Z

V'

T

H

T'

T' T

x

H'

x

V

Z'

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Y'

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra

Name___________________________________

Rotations of Shapes

Date________________ Period____

Graph the image of the figure using the transformation given. 1) rotation 180° about the origin y

2) rotation 90° counterclockwise about the origin

H'

L'y J'

B

B'

S

S'

Q' x

Q

Lx

J

H

3) rotation 90° clockwise about the origin

4) rotation 180° about the origin

y B'

y

F'

U'

M' F H' B

F'

H'

x

x

H

M

H

U

5) rotation 90° clockwise about the origin U(1, −2), W(0, 2), K(3, 2), G(3, −3)

F

6) rotation 180° about the origin V(2, 0), S(1, 3), G(5, 0)

y

y

S K

W W'

G'

V' V

x

U'

Gx

U G'

K' G

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Worksheet by Kuta Software LLC

Find the coordinates of the vertices of each figure after the given transformation. 7) rotation 180° about the origin Z(−1, −5), K(−1, 0), C(1, 1), N(3, −2) Z'(1, 5), K'(1, 0), C'(−1, −1), N'(−3, 2) 9) rotation 90° clockwise about the origin S(1, −4), W(1, 0), J(3, −4) S'(−4, −1), W'(0, −1), J'(−4, −3) Write a rule to describe each transformation.

8) rotation 180° about the origin L(1, 3), Z(5, 5), F(4, 2) L'(−1, −3), Z'(−5, −5), F'(−4, −2) 10) rotation 180° about the origin V(−5, −3), A(−3, 1), G(0, −3) V'(5, 3), A'(3, −1), G'(0, 3)

11)

12)

Q' y

y

N'

N T'

R

S'

E' R' Q

E

U'

X x

X'

U

x

S T

rotation 90° clockwise about the origin 13)

rotation 180° about the origin 14)

y

y

Y

Z

V'

T

H

T'

T' T

x

H'

x

V

Z'

Y'

rotation 180° about the origin

rotation 180° about the origin

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Worksheet by Kuta Software LLC