Geometry Name___________________________________
Translations Date________________ Block____
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Find the coordinates of the vertices of each figure after the given transformation and then graph the image.
1) translation: 8 units left and 7 units up 2) translation: 4 units left and 1 unit down
y y
E
V
x x
K X
Z
R
3) translation: ( x, y) → ( x + 6, y) 4) translation: ( x, y) → ( x + 3, y − 5)
G y y
F
J
Y
U
x V x
5) translation: (0, 4) 6) translation: (1, −1)
y Q y
R D
C
x V x
W
Y
L
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Write a rule to describe each transformation.
7) 8)
X X' y y
C C'
L L' J J'
x W A x
W' A'
F
F' S
S'
9) 10)
D y y
T
D'
W
F H
J'
T' R
x x
W'
F'
H'
R'
11) B(−2, −4), W(−3, −2), K(0, −4) 12) I(−2, −3), W(−3, 0), X(1, −2)
to to
B'(−1, −2), W'(−2, 0), K'(1, −2) I'(−1, −5), W'(−2, −2), X'(2, −4)
Find the coordinates of the vertices of each figure after the given transformation.
13) translation: ( x, y) → ( x + 1, y + 5) 14) translation: ( x, y) → ( x + 1, y)
N(−4, −2), V(−1, −1), Q(−4, −5) D(−2, −2), N(−3, 0), K(0, 1), R(2, −3)
15) translation: ( x, y) → ( x − 2, y − 4) 16) translation: ( x, y) → ( x + 5, y + 1)
X(−1, 1), K(3, 3), T(3, −1) Z(−3, −4), K(−2, −1), I(0, −1)
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Geometry Name___________________________________
Translations Date________________ Block____
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Find the coordinates of the vertices of each figure after the given transformation and then graph the image.
1) translation: 8 units left and 7 units up 2) translation: 4 units left and 1 unit down
y y
E
V
x x
K X
Z
R
R'(−5, 2), K'(−5, 4), X'(−4, 4) Z'(−2, −5), E'(−4, 0), X'(−1, 2), V'(0, −1)
3) translation: ( x, y) → ( x + 6, y) 4) translation: ( x, y) → ( x + 3, y − 5)
G y y
F
J
Y
U
x V x
U'(1, 2), G'(2, 5), J'(3, 4) Y'(−2, −3), F'(0, −1), V'(3, −5)
5) translation: (0, 4) 6) translation: (1, −1)
y Q y
R D
C
x V x
W
Y
L
Y'(−1, 2), C'(−2, 4), W'(3, 3), L'(3, 1) V'(1, −1), R'(−2, 3), Q'(0, 4), D'(4, 3)
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Write a rule to describe each transformation.
7) 8)
X X' y y
C C'
L L' J J'
x W A x
W' A'
F
F' S
S'
translation: ( x, y) → ( x + 1, y) translation: ( x, y) → ( x − 1, y − 1)
9) 10)
D y y
T
D'
W
F H
J'
T' R
x x
W'
F'
H'
R'
translation: ( x, y) → ( x + 3, y − 3) translation: ( x, y) → ( x, y − 4)
11) B(−2, −4), W(−3, −2), K(0, −4) 12) I(−2, −3), W(−3, 0), X(1, −2)
to to
B'(−1, −2), W'(−2, 0), K'(1, −2) I'(−1, −5), W'(−2, −2), X'(2, −4)
translation: ( x, y) → ( x + 1, y + 2) translation: ( x, y) → ( x + 1, y − 2)
Find the coordinates of the vertices of each figure after the given transformation.
13) translation: ( x, y) → ( x + 1, y + 5) 14) translation: ( x, y) → ( x + 1, y)
N(−4, −2), V(−1, −1), Q(−4, −5) D(−2, −2), N(−3, 0), K(0, 1), R(2, −3)
N'(−3, 3), V'(0, 4), Q'(−3, 0) D'(−1, −2), N'(−2, 0), K'(1, 1), R'(3, −3)
15) translation: ( x, y) → ( x − 2, y − 4) 16) translation: ( x, y) → ( x + 5, y + 1)
X(−1, 1), K(3, 3), T(3, −1) Z(−3, −4), K(−2, −1), I(0, −1)
X'(−3, −3), K'(1, −1), T'(1, −5) Z'(2, −3), K'(3, 0), I'(5, 0)
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