&: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___________________________________
Reflections of Shapes
Date________________ Period____
Graph the image of the figure using the transformation given.
1) reflection across the x-axis
2) reflection across y = 3
y
U
y
X
G
L
L
x
x
Q
4) reflection across the x-axis
3) reflection across y = 1
y
y
D
T
Z
Y
I
M
x
x
P
5) reflection across the x-axis
T(2, 2), C(2, 5), Z(5, 4), F(5, 0)
6) reflection across y = −2
H(−1, −5), M(−1, −4), B(1, −2), C(3, −3)
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) reflection across the x-axis
K(1, −1), N(4, 0), Q(4, −4)
8) reflection across y = −1
R(−3, −5), N(−4, 0), V(−2, −1), E(0, −4)
9) reflection across x = 3
F(2, 2), W(2, 5), K(3, 2)
10) reflection across x = −1
V(−3, −1), Z(−3, 2), G(−1, 3), M(1, 1)
Write a rule to describe each transformation.
11)
12)
y
y
X'
G
G'
I'
I
X
F
F'
x
K
H
H'
Z
Z'
13)
x
K'
14)
y
y
N'
N
X' X
x
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x
M
B
M'
B'
U
U'
S'
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S
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
Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Pre-Algebra
Name___________________________________
Reflections of Shapes
Date________________ Period____
Graph the image of the figure using the transformation given.
1) reflection across the x-axis
2) reflection across y = 3
y
y
UL'
X
U'L
X'
G
L
Q'
x
x
Q
L'
G'
4) reflection across the x-axis
3) reflection across y = 1
y
y
D
T
Z
I'
Y
P'
Y'
I
M'
M
x
x
P
T'
Z'
D'
5) reflection across the x-axis
T(2, 2), C(2, 5), Z(5, 4), F(5, 0)
y
6) reflection across y = −2
H(−1, −5), M(−1, −4), B(1, −2), C(3, −3)
y
C
Z
T
H'
F'
Fx
M'
x
C'
B
B'
T'
C
M
Z'
C'
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H
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Worksheet by Kuta Software LLC
Find the coordinates of the vertices of each figure after the given transformation.
7) reflection across the x-axis
K(1, −1), N(4, 0), Q(4, −4)
8) reflection across y = −1
R(−3, −5), N(−4, 0), V(−2, −1), E(0, −4)
N'(4, 0), Q'(4, 4), K'(1, 1)
N'(−4, −2), V'(−2, −1), E'(0, 2), R'(−3, 3)
9) reflection across x = 3
F(2, 2), W(2, 5), K(3, 2)
10) reflection across x = −1
V(−3, −1), Z(−3, 2), G(−1, 3), M(1, 1)
W'(4, 5), K'(3, 2), F'(4, 2)
Z'(1, 2), G'(−1, 3), M'(−3, 1), V'(1, −1)
Write a rule to describe each transformation.
11)
12)
y
y
X'
G
G'
I'
I
X
F
F'
x
K
H
x
K'
H'
reflection across the y-axis
reflection across x = −2
13)
Z'
Z
14)
y
y
N'
N
X' X
x
x
M
B
M'
B'
U
U'
S'
reflection across x = −2
S
reflection across x = 2
Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com
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Worksheet by Kuta Software LLC