module 8.3 lessons 4 and 5
TRANSCRIPT
Module 8.3 Lessons 4 and 5.notebook
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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
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Homework Answers p 19 #3,4,5
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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.
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PP'
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
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4.
PP'
O
5.
6.
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6.
4.
5.
PP'
OQ
Q'
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6.
4.
5.
PP'
OQ
Q'
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8.
9.
PQ ll P'Q'
P
P'
O
Q
Q'
P
P'
O
Q
Q'
PQ ll P'Q'corresponding angles
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8.
9.
PQ ll P'Q'
P
P'
O
Q
Q'
P
P'
O
Q
Q'
PQ ll P'Q'corresponding angles
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a. Determine the scale factor r.
b. Locate the center O of dilation. Measure the segments to verify that
5 cm10 cm
Turn to page 18 in your module packet
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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
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y coordinate: 12
x coordinate: 12
A'B'
OB
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Not in your module
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Point A only.
1.
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