what is a scale factor and how do you compute one?
DESCRIPTION
What is a scale factor and how do you compute one?. Happy Town. Smile City. Funville. Scale in miles: 1 inch = Approx. 15 miles. Gladberg. In this lesson you will learn how to determine the scale factor between two similar figures by applying ratios. - PowerPoint PPT PresentationTRANSCRIPT
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What is a scale factor and how do you compute one?
Scale in miles:1 inch = Approx. 15 miles
Funville
Gladberg
Happy Town Smile
City
![Page 2: What is a scale factor and how do you compute one?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815b5a550346895dc94102/html5/thumbnails/2.jpg)
In this lesson you will learn how to determine the scale factor between two similar figures by applying ratios.
![Page 3: What is a scale factor and how do you compute one?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815b5a550346895dc94102/html5/thumbnails/3.jpg)
Let’s ReviewLet’s ReviewA ratio is a comparison between
two numbers.
For example:# Apples : # Oranges = 4 : 2 or 2 : 1
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Let’s ReviewA Common MistakeReversing the order of the ratio
For example:# Apples : # Oranges = 2 : 4 or 1 : 2 -
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Let’s ReviewCore LessonTwo figures are similar if the lengths of every pair of corresponding sides are in
the same ratio.
A
B
C
L
M
N
16 22
24
8 11
12
=
=
=
=
=
=
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Let’s ReviewCore LessonThe scale factor is the ratio of the lengths of
corresponding sides in similar figures.Q
T S
R4
4
6
YZ
XW
6
Scale factor of small to large = = Scale factor of large to small = =
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Let’s ReviewCore LessonScale factor on a map:
Scale in miles:1 inch = Approx.
15 miles
Funville
Gladberg
Happy Town
Smile City
The number of inches on the
map that corresponds to
the actual number of miles
45 miles
3 inches
![Page 8: What is a scale factor and how do you compute one?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815b5a550346895dc94102/html5/thumbnails/8.jpg)
In this lesson you have learned how to determine the scale factor between two similar figures by applying ratios.
![Page 9: What is a scale factor and how do you compute one?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815b5a550346895dc94102/html5/thumbnails/9.jpg)
Let’s ReviewGuided Practice
Find the scale factor of the small triangle to the large triangle.
1010
16
25 25
40
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Let’s ReviewExtension Activities
Describe in words what it means when a diagram is drawn in a 1:10 scale.
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Let’s ReviewExtension ActivitiesFind the scale factor of triangle DEF to triangle PQR.
D
E
F
P
Q
R42
9 15
Perimeter of PQR = 42
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Let’s ReviewQuick Quiz
1. Find the scale factor of the small rectangle to the large rectangle.
80
30
12
32
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Let’s ReviewQuick Quiz
2. Find the scale factor of the large triangle to the small triangle.
AB
C
L
M
N
26
45
14
20