Mr. Coon's 6th Grade Math Class
Name___________________________________
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Date________________
Find the coordinates of the vertices of each figure after the given transformation.
1) translation: 1 unit down
2) reflection across the x-axis
y
C
y
T
D
U
x
x
X
F
3) translation: 1 unit left and 4 units down
E y
4) translation: 2 units right and 1 unit down
y
V
U
M
P
R
G
x
x
Z
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Worksheet by Kuta Software LLC
5) translation: 1 unit right and 3 units down
6) translation: 4 units right and 1 unit down
y
y
H
V
D
Z
X
T
R
x
x
K
8) translation: 3 units left and 1 unit up
7) reflection across the x-axis
y
y
G
A
x
x
X
N
L
P
F
9) reflection across the x-axis
10) reflection across the x-axis
y
y
K
B
Y
Q
W
x
x
H
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Worksheet by Kuta Software LLC
11) translation: 2 units down
12) reflection across the x-axis
Ay
y
P
C
W
C
x
x
B
13) translation: 3 units left
14) translation: 1 unit left
y
y
J
P
C
I
x
x
G
G
V
16) translation: 4 units right and 1 unit down
15) reflection across the y-axis
y
y
Q
N
U
M
P
U
x
x
H
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Worksheet by Kuta Software LLC
17) translation: 5 units right and 3 units down
18) reflection across the x-axis
y
y
W
N
K
N
x
Q
x
P
20) translation: 3 units up
19) reflection across the x-axis
y
y
T
F
B
I
Q
x
x
C
R
Sketch the graph of each line. Use a T-table. Use -1, 0, and 1 for X values.
22) x = 5
21) 5 x − 3 y = −6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
−1
2
3
4
5
6 x
−6 −5 −4 −3 −2 −1
1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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2
3
4
5
6 x
Worksheet by Kuta Software LLC
23) 3 x + 4 y = −4
24) y = 2
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−6 −5 −4 −3 −2 −1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
25) x − 3 y = −12
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
−1
26) x = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−6 −5 −4 −3 −2 −1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
27) x = −4
28) 5 x + y = −3
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
−1
2
3
4
5
6 x
−6 −5 −4 −3 −2 −1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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Worksheet by Kuta Software LLC
29) x + y = −1
30) x − y = −1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
−1
5
6 x
−6 −5 −4 −3 −2 −1
1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
2
3
4
5
6 x
Evaluate each expression.
1 1
−
6 2
31) 3
2
1
−1
3
2
32) 1
33) 1
1 1
−
2 5
34) 1 +
35)
3
4
1
3
+2
2
4
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Worksheet by Kuta Software LLC
Mr. Coon's 6th Grade Math Class
Name___________________________________
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Date________________
Find the coordinates of the vertices of each figure after the given transformation.
1) translation: 1 unit down
2) reflection across the x-axis
y
C
y
T
D
U
x
x
X
F
D'(−5, 2), C'(−3, 4), T'(0, 3)
U'(−4, −1), X'(−1, 1), F'(−5, 3)
3) translation: 1 unit left and 4 units down
E y
4) translation: 2 units right and 1 unit down
y
V
U
M
P
R
G
x
x
Z
P'(−3, −3), E'(−1, 1), U'(3, −1), R'(1, −3)
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G'(2, −1), V'(3, 3), M'(5, 1), Z'(4, −3)
-1-
Worksheet by Kuta Software LLC
5) translation: 1 unit right and 3 units down
6) translation: 4 units right and 1 unit down
y
y
H
V
D
Z
X
T
R
x
x
K
D'(−2, −1), V'(−1, 1), T'(1, −3), X'(−2, −2)
Z'(−1, 0), H'(1, 3), R'(2, 0), K'(1, −5)
8) translation: 3 units left and 1 unit up
7) reflection across the x-axis
y
y
G
A
x
x
X
N
L
P
F
P'(−4, −2), G'(−2, 1), X'(0, 0)
A'(−4, 0), N'(−2, 2), F'(−2, 3), L'(−5, 3)
9) reflection across the x-axis
10) reflection across the x-axis
y
y
K
B
Y
Q
W
x
x
H
K'(−3, −4), Q'(−2, −3), B'(−5, −3)
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Y'(3, −3), H'(3, 2), W'(0, 0)
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Worksheet by Kuta Software LLC
11) translation: 2 units down
12) reflection across the x-axis
Ay
y
P
C
W
C
x
x
B
C'(−2, −2), P'(−3, 2), A'(0, 3)
C'(3, −3), B'(3, 2), W'(0, −1)
13) translation: 3 units left
14) translation: 1 unit left
y
y
J
P
C
I
x
x
G
G
V
I'(−1, 1), J'(0, 4), P'(2, 2), G'(0, −2)
G'(1, −2), C'(3, 1), V'(3, −4)
16) translation: 4 units right and 1 unit down
15) reflection across the y-axis
y
y
Q
N
U
M
P
U
x
x
H
M'(1, 0), Q'(2, 3), U'(4, 0), H'(4, −4)
N'(0, 3), U'(−2, 2), P'(3, 0)
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Worksheet by Kuta Software LLC
17) translation: 5 units right and 3 units down
18) reflection across the x-axis
y
y
W
N
K
N
x
Q
x
P
P'(2, −5), K'(1, −1), N'(3, 0)
W'(4, −5), N'(5, −2), Q'(2, 0)
20) translation: 3 units up
19) reflection across the x-axis
y
y
T
F
B
I
Q
x
x
C
R
C'(−2, 1), F'(−2, 5), Q'(3, 4), R'(3, −1)
T'(−5, −4), I'(−4, −2), B'(−5, −2)
Sketch the graph of each line. Use a T-table. Use -1, 0, and 1 for X values.
22) x = 5
21) 5 x − 3 y = −6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
−1
2
3
4
5
6 x
−6 −5 −4 −3 −2 −1
1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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2
3
4
5
6 x
Worksheet by Kuta Software LLC
23) 3 x + 4 y = −4
24) y = 2
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−6 −5 −4 −3 −2 −1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
25) x − 3 y = −12
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
−1
26) x = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−6 −5 −4 −3 −2 −1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
27) x = −4
28) 5 x + y = −3
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
−1
2
3
4
5
6 x
−6 −5 −4 −3 −2 −1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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Worksheet by Kuta Software LLC
29) x + y = −1
30) x − y = −1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
−1
5
6 x
−6 −5 −4 −3 −2 −1
1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
2
3
4
5
6 x
Evaluate each expression.
31) 3
2
1
−1
3
2
2
33) 1
35)
1 1
−
6 2
2
3
1
6
1 1
−
2 5
1
32) 1
34) 1 +
3
10
1
3
4
3
4
1
3
+2
2
4
3
1
4
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