Geometry
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Graph the image of the figure using the transformation given. 1) translation: 2 units right and 3 units up
2) translation: 5 units left and 3 units up
y
y
Y
S x
x
B
N I
Z B
U
3) translation: 1 unit down B(1, 1), D(3, 4), U(5, -1)
4) translation: 4 units left N(1, 0), Q(1, 4), I(4, 5), Z(4, 1)
y
y
x
x
Find the coordinates of the vertices of each figure after the given transformation. 5) translation: ( x, y) ® ( x + 7, y + 1)
6) translation: ( x, y) ® ( x + 2, y)
y
y
Z X
Q U
D
L C
x
x
G
Worksheet by Kuta Software LLC
-1-
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7) translation: 4 units up T(0, -2), D(3, 0), M(1, -5)
8) translation: 8 units right C(-5, -2), M(-4, 0), I(-3, -4)
Write a funtion to describe each transformation. 9)
10)
y
y
A A' P P'
U'
U
D
I'
I x
x
Z Z' Y
Y'
Write a rule to describe each transformation. 11) C(-5, 2), A(-5, 5), N(-2, 1) to C'(2, -1), A'(2, 2), N'(5, -2)
12) B(-4, -3), C(-2, 1), P(-1, 1), E(0, -2) to B'(-4, -5), C'(-2, -1), P'(-1, -1), (0, -4)
Graph the image of the figure using the transformation given. 13) reflection across the x-axis y
14) reflection across the y-axis y
P
U
B R Z
x
x
A
X
Worksheet by Kuta Software LLC
-2-
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15) translation: 4 units right and 2 units up V(-4, -3), Z(-3, 1), G(1, -2), E(1, -5)
16) translation: 5 units left and 6 units down U(1, 3), S(2, 5), E(3, 4) y
y
x
x
Find the coordinates of the vertices of each figure after the given transformation. 17) reflection across the x-axis A(-1, -2), B(3, 1), G(1, -4)
18) reflection across y = -3 P(-3, -5), E(-1, -1), W(2, -3)
19) reflection across y = -1 K(1, -2), W(2, 0), F(3, -4)
20) reflection across x = -1 A(-2, 3), H(-1, 5), F(3, 4), M(3, 1)
Write a rule to describe each transformation. 21)
22)
y
y
V' A
D
V
D'x
A'
x
G H' I
H G'
I' D T'
D'
T
Worksheet by Kuta Software LLC
-3-
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23)
24)
y
I'
y
S' Z
Z' Sx
I
x
LL' B'
B
Z
Z'
Graph the image of the figure using the transformation given. 25) rotation 90° counterclockwise about the origin
26) rotation 90° counterclockwise about the origin
y
y
Y
D
X
W x
x
I
X
27) rotation 180° about the origin W
28) rotation 90° clockwise about the origin
y
y
L
H A
S
x
x
Y P
Worksheet by Kuta Software LLC
-4-
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29) rotation 90° counterclockwise about the origin W(-4, -3), L(-3, 1), D(-1, -2)
30) rotation 90° counterclockwise about the origin P(-3, -5), C(-3, -3), N(-2, -3)
y
y
x
31) rotation 180° about the origin Q(2, 0), P(2, 3), T(5, 0)
x
32) rotation 180° about the origin T(-5, -4), E(-4, -2), B(-2, -5), V(-3, -5)
y
y
x
x
Worksheet by Kuta Software LLC
-5-
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