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

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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Presentation Transcript

Happy Town

Smile City

Funville

Scale in miles:

1 inch = Approx. 15 miles

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

A ratio is a comparison between two numbers.

For example:

# Apples : # Oranges

or 2 : 1

= 4 : 2

For example:

# Apples : # Oranges

-

= 2 : 4 or 1 : 2

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

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

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

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

40

10

10

25

25

16

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

9

15

E

Q

P

42

Perimeter of PQR = 42

R

D

F

32

80

12

30

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

26

14

B

M

L

20

45

A

N

C