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
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
In this lesson you will learn how to determine the scale factor between two similar figures by applying ratios.
Let’s ReviewLet’s ReviewA ratio is a comparison between
two numbers.
For example:# Apples : # Oranges = 4 : 2 or 2 : 1
Let’s ReviewA Common MistakeReversing the order of the ratio
For example:# Apples : # Oranges = 2 : 4 or 1 : 2 -
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
=
=
=
=
=
=
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 = =
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
In this lesson you have learned how to determine the scale factor between two similar figures by applying ratios.
Let’s ReviewGuided Practice
Find the scale factor of the small triangle to the large triangle.
1010
16
25 25
40
Let’s ReviewExtension Activities
Describe in words what it means when a diagram is drawn in a 1:10 scale.
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
Let’s ReviewQuick Quiz
1. Find the scale factor of the small rectangle to the large rectangle.
80
30
12
32
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