ID: 1
8th Grade
Name___________________________________
Unit 1a Test Study Guide Transformations
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Graph the image of the figure using the transformation given.
1) translation: 2 units left and 1 unit down
2) translation: 3 units right and 2 units down
y
y
T
Z
H
M
U
x
x
D
L
T
3) translation: 5 units right and 2 units up
Q(−5, 2), E(−5, 3), K(−1, 2), T(−1, 1)
4) translation: 2 units left and 6 units up
Q(3, −5), X(2, −2), R(3, −2)
y
y
x
x
Write a rule to describe each transformation.
5)
6)
y
y
T'
Q'
F'
Fx
x
X'
R
Q
X
T
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P'
R'
Y'
Y
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P
Worksheet by Kuta Software LLC
Graph the image of the figure using the transformation given.
7) reflection across the y-axis
8) reflection across y = 1
y
Wy
Y
A
W
R
C
x
9) rotation 90° counterclockwise about the
origin
x
10) rotation 180° about the origin
y
y
Y
F
x
x
N
Q
T
K
Find the coordinates of the vertices of each figure after the given transformation.
11) reflection across the x-axis
D(−3, −4)
12) reflection across the y-axis
A(−5, −5)
Write a rule to describe each transformation.
13) S(−4, −1), G(−3, 0), C(−2, 0), F(−4, −4)
to
G'(1, 0), C'(0, 0), F'(2, −4), S'(2, −1)
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14) J(−3, −4), M(−5, −2), T(−1, 1), E(0, −2)
to
M'(1, −2), T'(−3, 1), E'(−4, −2), J'(−1, −4)
-2-
Worksheet by Kuta Software LLC
ID: 1
8th Grade
Name___________________________________
Unit 1a Test Study Guide Transformations
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Graph the image of the figure using the transformation given.
1) translation: 2 units left and 1 unit down
2) translation: 3 units right and 2 units down
y
y
T
Z
T'
Z'
H
H'
M
U
x
x
M'
D
D'
LU'
T
T'
L'
3) translation: 5 units right and 2 units up
Q(−5, 2), E(−5, 3), K(−1, 2), T(−1, 1)
4) translation: 2 units left and 6 units up
Q(3, −5), X(2, −2), R(3, −2)
E' y
y
K'
X'
R'
Q'
E
T'
K
Q
T
Q'
x
x
R
X
Q
Write a rule to describe each transformation.
5)
6)
y
rotation 90° counterclockw
origin
y
T'
Q'
F'
Fx
x
X'
R
Q
X
T
P'
R'
Y'
Y
P
rotation 180° about the origin
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-1-
Worksheet by Kuta Software LLC
Graph the image of the figure using the transformation given.
7) reflection across the y-axis
8) reflection across y = 1
y
Wy
Y'
Y
A
W W'
R
C
C'
R'
x
x
A'
W'
9) rotation 90° counterclockwise about the
origin
10) rotation 180° about the origin
y
y
T'
K'
Y
Q'
F'
F
N
x
x
N'
Q
Y'
T
K
Find the coordinates of the vertices of each figure after the given transformation.
11) reflection across the x-axis
D(−3, −4)
D'(−3, 4)
Write a rule to describe each transformation.
12) reflection across the y-axis
A(−5, −5)
A'(5, −5)
13) S(−4, −1), G(−3, 0), C(−2, 0), F(−4, −4)
to
G'(1, 0), C'(0, 0), F'(2, −4), S'(2, −1)
reflection across x = −1
14) J(−3, −4), M(−5, −2), T(−1, 1), E(0, −2)
to
M'(1, −2), T'(−3, 1), E'(−4, −2), J'(−1, −4)
reflection across x = −2
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-2-
Worksheet by Kuta Software LLC