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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Transformations Using Matrices
Graph the image of the figure using the transformation given.
1) translation: 2 units left and 7 units up
x
y
Y
X
P
2) dilation of 2.5
x
y
F
J
T
3) rotation 180° about the origin
x
y
K
B R
Z
4) reflection across the y-axis
x
y
H
M
Q
F
Find the coordinates of the vertices of each figure after the given transformation.
5) rotation 90° clockwise about the origin
−4 1 −2
−4 −3 −5
6) translation: 5 units left and 5 units up
2 0 1 4
−3 0 0 −2
-1-
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Worksheet by Kuta Software LLC
7) dilation of 0.25
−1 2 −1
1 2 −1
8) reflection across
y =
x
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−2 0 −3
9) rotation 180° about the origin
0 2 5
−3 −1 −5
10) dilation of 0.5
−1 1 2
0 1 −1
Write a rule to describe each transformation.
11)
1 1 4 5
2 3 2 1
to
0.5 0.5 2 2.5
1 1.5 1 0.5
12)
−4 −3 −1
−3 1 0
to
−1 0 2
−3 1 0
13)
1 3 4 5
0 3 2 −3
to
−1 −3 −4 −5
0 3 2 −3
14)
−3 1 0
2 5 3
to
2 5 3
3 −1 0
15)
−3 −1 0
−5 −2 −3
to
−2 0 1
−2 1 0
16)
−3 −4 −1 1
−4 −1 3 −2
to
3 4 1 −1
4 1 −3 2
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Transformations Using Matrices
Graph the image of the figure using the transformation given.
1) translation: 2 units left and 7 units up
x
y
Y
X
P
Y'
X'
P'
2) dilation of 2.5
x
y
F
J
T
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3) rotation 180° about the origin
x
y
K
B R
Z
K'
B'R'
Z'
4) reflection across the y-axis
x
y
H
M
Q
F
M'
Q'
F'
H'
Find the coordinates of the vertices of each figure after the given transformation.
5) rotation 90° clockwise about the origin
−4 1 −2
−4 −3 −5
−4 −3 −5
4 −1 2
6) translation: 5 units left and 5 units up
2 0 1 4
−3 0 0 −2
−3 −5 −4 −1
2 5 5 3
-1-
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Worksheet by Kuta Software LLC
7) dilation of 0.25
−1 2 −1
1 2 −1
−0.25 0.5 −0.25
0.25 0.5 −0.25
8) reflection across
y =
x
−5 −2 −1
−2 0 −3
−2 0 −3
−5 −2 −1
9) rotation 180° about the origin
0 2 5
−3 −1 −5
0 −2 −5
3 1 5
10) dilation of 0.5
−1 1 2
0 1 −1
−0.5 0.5 1
0 0.5 −0.5
Write a rule to describe each transformation.
11)
1 1 4 5
2 3 2 1
to
0.5 0.5 2 2.5
1 1.5 1 0.5
dilation of
1
2
12)
−4 −3 −1
−3 1 0
to
−1 0 2
−3 1 0
translation: 3 units right
13)
1 3 4 5
0 3 2 −3
to
−1 −3 −4 −5
0 3 2 −3
reflection across the y-axis
14)
−3 1 0
2 5 3
to
2 5 3
3 −1 0
rotation 90° clockwise about the origin
15)
−3 −1 0
−5 −2 −3
to
−2 0 1
−2 1 0
translation: 1 unit right and 3 units up
16)
−3 −4 −1 1
−4 −1 3 −2
to
3 4 1 −1
4 1 −3 2
rotation 180° about the origin
-2-
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