Geometry A
Name___________________________________ ID: 1
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HW 7: Rotations
Date________________ Period____
Write a rule to describe each transformation. 1)
2)
y
H
y
M
Y
B
Q x
D
x
Q' D' H' Y'
B'
3)
M'
4)
y
y
D' S H Z K' K
Z'
x
x
V' D
H' S' V
5) Y
y
F
W I I'
x
W'
F'
Y'
Worksheet by Kuta Software LLC
-1-
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Graph the image of the figure using the transformation given. 6) rotation 90° counterclockwise about the origin
7) rotation 90° counterclockwise about the origin
y
y
V A K B C
x
x
J
F
8) rotation 180° about the origin
9) rotation 180° about the origin
y
y
J
U x
x
G S
Z
G
10) rotation 90° counterclockwise about the origin y
11) rotation 90° counterclockwise about the origin B(-3, 0), X(-3, 5), I(-1, 5), W(2, 1) y
U
F x
Z
x
T
Worksheet by Kuta Software LLC
-2-
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12) rotation 180° about the origin N(-3, -4), K(-2, -3), R(0, -5) y
13) rotation 90° counterclockwise about the origin D(-3, 0), Z(-3, 3), H(-1, 2), I(-2, -3) y
x x
14) rotation 90° counterclockwise about the origin L(-5, 0), A(-5, 1), U(-2, 4), I(-3, 1)
15) rotation 90° counterclockwise about the origin N(-3, 1), V(0, 3), L(-1, -1)
y
y
x
x
Find the coordinates of the vertices of each figure after the given transformation. 16) rotation 180° about the origin Q(3, -1), V(1, 3), E(5, 2), F(5, -1)
17) rotation 90° counterclockwise about the origin L(-1, -3), B(-1, 2), W(2, 3), C(3, -1)
18) rotation 90° counterclockwise about the origin T(-4, -2), B(-3, -2), U(-3, -5)
19) rotation 90° counterclockwise about the origin E(1, 1), P(2, 4), T(3, 4), G(5, 1)
20) rotation 180° about the origin B(-3, -3), U(-4, 1), Q(-2, 2), P(-2, -3) Worksheet by Kuta Software LLC
-3-
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Answers to HW 7: Rotations (ID: 1) 1) rotation 90° counterclockwise about the 2) rotation 180° about the origin origin 3) rotation 180° about the origin 4) rotation 90° counterclockwise about the origin 5) rotation 180° about the origin 6) 7) y
B' y
V' J' K'
A' F'
x
x
C'
8)
9)
y
10)
y
y
G' Z'
S'
G' U'
x
J'
x
Z'
U'
T'
F'
11)
12)
y
13)
R' y
x
y
N' W'
K' x
I'
H'
x
x
I' Z'
B'
X'
14)
15)
y
D'
y
V' x
L'
U'
x
I' N' A'
16) 18) 20)
L'
Q'(-3, 1), V'(-1, -3), E'(-5, -2), F'(-5, 1) 17) L'(3, -1), B'(-2, -1), W'(-3, 2), C'(1, 3) T'(2, -4), B'(2, -3), U'(5, -3) 19) E'(-1, 1), P'(-4, 2), T'(-4, 3), G'(-1, 5) B'(3, 3), U'(4, -1), Q'(2, -2), P'(2, 3)
Worksheet by Kuta Software LLC
-4-
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