Name
Date
Page 1
Dilations on the
Coordinate Plane
A dilation changes the size of a figure without changing its shape. Try it! Graph the image
of each figure by completing the given dilation. The first problem has been done for you.
Graph the image of ABC after a dilation
with a scale factor of 2, centered at the origin.
Graph the image of MNP after a dilation
1
with a scale factor of 2 , centered at the origin.
y
y
10
10
A’
9
8
7
7
6
6
5
4
A
3
1
-1 0
-1
5
4
3
C’
2
-10 -9 -8 -7 -6 -5 -4 -3 -2
9
8
C
B
1
2
3
4
2
B’
5
6
7
8
9
-10 -9 -8 -7 -6 -5 -4 -3 -2
-2
-2
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
-10
-10
y
y
10
10
9
9
8
8
7
7
6
6
5
X
2
1
x
1
2
3
4
-2
L
-3
2
3
4
5
6
7
8
9
10
M
P
N
5
3
-1 0
-1
x
1
Graph the image of XYZ after a dilation
with a scale factor of 3, centered at the origin.
4
-10 -9 -8 -7 -6 -5 -4 -3 -2
-1 0
-1
-3
Graph the image of JKL after a dilation with
1
a scale factor of 3 , centered at the origin.
J
1
x
10
5
6
7
8
9
10
Z
-10 -9 -8 -7 -6 -5 -4 -3 -2
4
3
Y2
1
-1 0
-1
x
1
2
3
4
5
6
7
8
9
10
-2
K
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
-10
-10
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Name
Date
Page 2
Dilations on the
Coordinate Plane
Keep going! Graph the image of each figure by completing the given dilation.
Graph the image of square QRST after a dilation
with a scale factor of 4, centered at the origin.
Graph the image of trapezoid ABCD after a dilation
1
with a scale factor of 2 , centered at the origin.
y
y
10
10
9
9
8
8
7
7
6
6
5
5
4
4
3
Q
-10 -9 -8 -7 -6 -5 -4 -3 -2
T
3
2
1
-1 0
-1
2
R
1
S
1
x
2
3
4
5
6
7
8
9
10
-10 -9 -8 -7 -6 -5 -4 -3 -2
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
D -8
-9
-9
-10
-10
Graph the image of rectangle WXYZ after a dilation
2
with a scale factor of 3 , centered at the origin.
y
10
10
9
9
8
8
7
W
Z
3
J
Y
4
A
5
6
7
8
9
10
B
C
5
K
4
3
2
1
1
x
1
2
3
4
5
6
7
8
9
10
-10 -9 -8 -7 -6 -5 -4 -3 -2
-1 0
-1
-2
-2
-3
-3
-4
3
6
2
-1 0
-1
2
7
X
5
4
x
1
Graph the image of parallelogram JKLM after a
dilation with a scale factor of 2, centered at the origin.
y
6
-10 -9 -8 -7 -6 -5 -4 -3 -2
-1 0
-1
M
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
-10
-10
x
1
2
3
4
5
6
7
8
9
10
L
Find worksheets, games, lessons & more at education.com/resources
© 2007 - 2023 Education.com