Chapter 9.7
Dilations
Geometry
Objective(s)
Perform compositions that include dilations.
Recall
A.
A Dilation is a transformation in which the original figure and its image are ___________ and related by a _______________ of k.
Notes: 1. A dilation is a ____________ if 0 < k < 1.
2. A dilation is a ____________ if k > 1.
Examples
1. Find the scale factor of each dilation. Then tell whether the dilation is a reduction or an enlargement.
b.
a.
P'
P
12
P'
18
12
C
P
8
C
2. The vertices of ΔABC are A(­4, 1), B(­2, 2) and C(­2, 1). Find the image of ΔABC after the given composition.
Translation (x, y)­­­>(x + 5, y + 1), then
y
Dilation centered at the origin with a scale factor of 2.
x

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