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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S'
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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