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Module 8.3 Lesson 3 Examples of Dilations.notebook
1
May 24, 2016
5/24/25
Lesson #3­3: Examples of Dilations
HW:  Page 19 #3­5 and CRS 18 due tomorrow
Do now:
Complete Page 12 #2 using O as the 
center (not O`)
Module 8.3 Lesson 3 Examples of Dilations.notebook
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0°
280
Module 8.3 Lesson 3 Examples of Dilations.notebook
3
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Module 8.3 Lesson 3 Examples of Dilations.notebook
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Module 8.3 Lesson 3 Examples of Dilations.notebook
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How many points would you need to separate the
circle into to draw an accurate dilated image? Page 15
Use Compass
Module 8.3 Lesson 3 Examples of Dilations.notebook
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How many points would you need to separate the
circle into to draw an accurate dilated image? Page 15
Use Compass
9°
160
Module 8.3 Lesson 3 Examples of Dilations.notebook
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How many points would you need to separate the
circle into to draw an accurate dilated image? Page 15
0°
135
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Would you be able to produce a circle as an image
from the number of points used in this example?
Page 15
Module 8.3 Lesson 3 Examples of Dilations.notebook
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What's wrong with using these points?
Module 8.3 Lesson 3 Examples of Dilations.notebook
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What about this image. Does it look like a circle?
Module 8.3 Lesson 3 Examples of Dilations.notebook
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The number of points to dilate that is enough is as
many as are needed to produce a dilated image that
looks like the original. For curved figures, like this
circle, the more points you dilate the better. The
location of the points you choose to dilate is also
important.
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 16Use Compass
18°
118
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 16
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 16
0°
152
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 16
0°
144
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 16
Module 8.3 Lesson 3 Examples of Dilations.notebook
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What can we do to map this new triangle, triangle A'B'C',
back to the original triangle? Be as specific as possible!
Page 17
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Reverse a dilation by using a scale factor that 
is the multiplicative inverse (reciprocal) of the 
first scale 
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Original Dilation scale factor: 2
Scale factor to reverse the dilation:
Original Dilation scale factor:
1
7
Scale factor to reverse the dilation:
Original Dilation scale factor:
2
3
Scale factor to reverse the dilation:
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Step 1- Measure the distances between point O and A
and point O and A'.
|OA| = 6 units
|OA'| = 2 units
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
58°
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Step 2- Compare the distances and create an equation!
You want to now go from A' to A.
|OA| = 6 units
|OA'| = 2 units
Think!!! What can I multiply |OA'| by to give me
|OA|.
Module 8.3 Lesson 3 Examples of Dilations.notebook
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If a figure is dilated by scale factor, r, to bring the 
dilated figure back to the original size, we must 
dilate it by a scale factor of      .
If a scale factor is r =6, then the bring a dilated 
figure back to the original size, the scale factor 
must equal ________.
(reciprocal)
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 17
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 18
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Page 18
Module 8.3 Lesson 3 Examples of Dilations.notebook
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0°
122
Module 8.3 Lesson 3 Examples of Dilations.notebook
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0°
152
Module 8.3 Lesson 3 Examples of Dilations.notebook
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0°
127
Module 8.3 Lesson 3 Examples of Dilations.notebook
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0°
127
Module 8.3 Lesson 3 Examples of Dilations.notebook
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Module 8.3 Lesson 3 Examples of Dilations.notebook
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Module 8.3 Lesson 3 Examples of Dilations.notebook
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Module 8.3 lesson 3 examples of dilations'