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Module 8.3 Lessons 4 and 5.notebook
1
May 25, 2016
A triangle was dilated from center O by a scale
factor of r = 8. What scale factor would dilated the
figure to the original size?
Do Now:
HWModule 8.3 Lessons 4 & 5
Fundamental Theorem of Similarity
and First Consequences of FTS
p 29-30 #1,2,3
Module 8.3 Lessons 4 and 5.notebook
2
May 25, 2016
Homework Answers p 19 #3,4,5
Module 8.3 Lessons 4 and 5.notebook
3
May 25, 2016
3. Use the definition of dilation to describe
the lengths along this ray.
1. On the first line of your paper, mark a
point    . We will use this as our center.
From point O, draw a ray OP.  
Mark the point P a few lines down from the center. 
Now, choose a P' farther down the ray, also on one of   
the lines of the   notebook paper. For example, you 
may have placed point P, 3 lines down from the 
center, and point P', 5 lines down from the center.
2.
Page 21
Module 8.3 Lessons 4 and 5.notebook
4
May 25, 2016
P
P'
O
3. Use the definition of dilation to describe
the lengths along this ray.
1. On the first line of your paper, mark a
point . We will use this as our center.
From point O, draw a ray OP.  
Mark the point P a few lines down from the center. 
Now, choose a P' farther down the ray, also on one of   
the lines of the   notebook paper. For example, you 
may have placed point P, 3 lines down from the 
center, and point P', 5 lines down from the center.
2.
Find the Scale Factor
Module 8.3 Lessons 4 and 5.notebook
5
May 25, 2016
4.
P
P'
O
5.
6.
Module 8.3 Lessons 4 and 5.notebook
6
May 25, 2016
6.
4.
5.
P
P'
O
Q
Q'
Module 8.3 Lessons 4 and 5.notebook
7
May 25, 2016
6.
4.
5.
P
P'
O
Q
Q'
Module 8.3 Lessons 4 and 5.notebook
8
May 25, 2016
8.
9.
PQ ll P'Q'
P
P'
O
Q
Q'
P
P'
O
Q
Q'
PQ ll P'Q'
corresponding angles
Module 8.3 Lessons 4 and 5.notebook
9
May 25, 2016
8.
9.
PQ ll P'Q'
P
P'
O
Q
Q'
P
P'
O
Q
Q'
PQ ll P'Q'
corresponding angles
Module 8.3 Lessons 4 and 5.notebook
10
May 25, 2016
Page 23
Module 8.3 Lessons 4 and 5.notebook
11
May 25, 2016
Module 8.3 Lessons 4 and 5.notebook
12
May 25, 2016
Page 22
Module 8.3 Lessons 4 and 5.notebook
13
May 25, 2016
Page 22
Module 8.3 Lessons 4 and 5.notebook
14
May 25, 2016
Module 8.3 Lessons 4 and 5.notebook
15
May 25, 2016
Page 25
Module 8.3 Lessons 4 and 5.notebook
16
May 25, 2016
Page 26
Module 8.3 Lessons 4 and 5.notebook
17
May 25, 2016
a. Determine the scale factor r.
b. Locate the center O of dilation.
Measure the segments to verify that
5
cm
10
cm
Turn to page 18 in your module packet
Module 8.3 Lessons 4 and 5.notebook
18
May 25, 2016
a. Determine the scale factor r.
b. Locate the center O of dilation.
Measure the segments to verify that
r = 2
5
cm
O
10
cm
Turn to page 18 in your module packet
Module 8.3 Lessons 4 and 5.notebook
19
May 25, 2016
Page 28
Module 8.3 Lessons 4 and 5.notebook
20
May 25, 2016
y coordinate: 12
x coordinate: 12
A'B'
OB
Module 8.3 Lessons 4 and 5.notebook
21
May 25, 2016
Not in your module
Module 8.3 Lessons 4 and 5.notebook
22
May 25, 2016
Module 8.3 Lessons 4 and 5.notebook
23
May 25, 2016
Page 28
Module 8.3 Lessons 4 and 5.notebook
24
May 25, 2016
Module 8.3 Lessons 4 and 5.notebook
25
May 25, 2016
Module 8.3 Lessons 4 and 5.notebook
26
May 25, 2016
Point A only.
1.
Page 29
Module 8.3 Lessons 4 and 5.notebook
27
May 25, 2016
Page 30
Module 8.3 Lessons 4 and 5.notebook
28
May 25, 2016
Page 30
Module 8.3 Lessons 4 and 5.notebook
29
May 25, 2016

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