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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