What is a scale factor and how do you compute one?
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What is a scale factor and how do you compute one? PowerPoint PPT Presentation


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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.

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What is a scale factor and how do you compute one?

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What is a scale factor and how do you compute one

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


What is a scale factor and how do you compute one

In this lesson you will learn how to determine the scale factor between two similar figures by applying ratios.


What is a scale factor and how do you compute one

A ratio is a comparison between two numbers.

For example:

# Apples : # Oranges

or 2 : 1

= 4 : 2


What is a scale factor and how do you compute one

Reversing the order of the ratio

For example:

# Apples : # Oranges

-

= 2 : 4 or 1 : 2


What is a scale factor and how do you compute one

Two figures are similar if the lengths of every pair of corresponding sides are in the same ratio.

=

=

8

B

M

11

=

=

16

22

12

L

=

=

N

A

24

C


What is a scale factor and how do you compute one

The scale factor is the ratio of the lengths of corresponding sides in similar figures.

6

W

X

Q

4

R

4

T

S

=

=

=

=

Z

Y

6

Scale factor of large to small

Scale factor of small to large


What is a scale factor and how do you compute one

Scale factor on a map:

The number of inches on the map that corresponds to the actual number of miles

3 inches

45 miles

Smile City

Happy Town

Funville

Scale in miles:

1 inch = Approx. 15 miles

Gladberg


What is a scale factor and how do you compute one

In this lesson you have learned how to determine the scale factor between two similar figures by applying ratios.


What is a scale factor and how do you compute one

Find the scale factor of the small triangle to the large triangle.

40

10

10

25

25

16


What is a scale factor and how do you compute one

Describe in words what it means when a diagram is drawn in a 1:10 scale.


What is a scale factor and how do you compute one

  • Find the scale factor of triangle DEF to triangle PQR.

9

15

E

Q

P

42

Perimeter of PQR = 42

R

D

F


What is a scale factor and how do you compute one

1. Find the scale factor of the small rectangle to the large rectangle.

32

80

12

30


What is a scale factor and how do you compute one

2. Find the scale factor of the large triangle to the small triangle.

26

14

B

M

L

20

45

A

N

C


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