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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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7) dilation of 0.25
−1 2 −1
1 2 −1
8) reflection across y = x
−5 −2 −1
−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-
©X n2G0B1f2d ZKJu5tuaP DSgokfptJw6ayr9eY OLuLWCF.Z A 7AolClp 0rHimgphGthsd ArDeqszeBrpvPeBdX.b Z mMeaAdueI AwGiItyh0 0Imn5foi7nhistAee CAZlsg5e2btrqa5 F2g.n 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
F' J'
T'
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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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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