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9.5 Dilations.notebook
1
February 06, 2019
9.5 Dilations.notebook
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February 06, 2019
Learning Goal: Today I will learn about dilations.
Success Criteria: I am able to graph a dilation, find a scale factor and center of dilation.
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9.5 Dilations
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What is a dilation?
A transformation whose preimage and image are similar. Every dilation has a scale factor and a center.
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*What is a dilation?
When an object changes in size but not in shape
ys
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Finding a scale factor (n)
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*Center of Dilation
The point from which a dilation emanates.
ys
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*Enlargement
A dilation with a scale factor greater than one.
ys
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*Reduction
A dilation with a scale factor less than one.
ys
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The center of dilation is ____Scale Factor: _________
x3
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Center: _______ Scale Factor: _________(0, 0) Reduction
Follow on worksheet
Find the ordered pairs for each one
J J'
K K'
M M'
L L'
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Center: _______ Scale Factor: _________(0, 0)
Find the ordered pairs for each one
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Graphing Dilations
Dilate the preimage with a scale factor of 3/2 and center (0, 0)
A
B
C
A (2, 2)A'
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Graphing Dilations
Find the center of dilation for the image and preimage.
J
K L
M
K' L'
J' M'
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12 11 10 9 8 7 6 5 4 3 2 1 0
654321
123456789101112
y
P
Q
R
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2 1 0 1 2 3 4 5 6 7 8 9 10
2
1
1
2
3
4
5
6
7
8
9
10
x
y
Q
R
P
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Closure: Today I learned how to graph a dilation, find a scale factor and center of dilation.
Use a ruler when finding the center of dilation!
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Quiz and Worksheet
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