Are the following scaled copies. Explain why or why not.
No
Suppose a dollhouse is built using a scale of 1 : 12. The porch on the dollhouse is 6 inches high. How high is the actual porch of the house?
72 inches or 6 feet
Explain how the perimeter changes when a scale factor is applied
The perimeter of the original is multiplied by the scale factor.
The scale factor for a model car is 24. What does this mean?
That the actual car is 24 times larger than the model car
An automobile 16 feet long; Suppose there is a scale drawing where 1 foot:6 inches. How long would the drawing be?
96 inches.
Which ones are a scaled copy of figure A?
B and C
A map has a scale of 1cm represents 50 m.The distance between two shops on the map is 4.5 cm.
What is the actual distance between the shops?
225 m .
or
22500 cm.
If the original image has a perimeter of 30 and the scale factor is 5. What would the perimeter of the copy image be?
150
What is the scale factor?
1.5
Ed earned $112 for 8 hours of work. At this rate, how much will he earn for 40 hours of work?
$560
Figure 2 and Figure 4
A map of Lewiston has a scale of 1cm to 50m. If it was 5cm long on the map, how many meters would it be in the city of Lewiston?
5cm to 250m
Suppose the perimeter of a square is 4 inches and its copy has a scale factor of 12. What would the new perimeter be?
48 inches
Here are three map scales. Which map will make the town look the biggest on paper?
a) 1 inch = 10 miles
b) 1 inch = 5 miles
c) 1 inch = 1 mile
The map with 1 inch = 1 mile makes things look largest because each inch only covers a little bit of real life.
A flag is 5 feet wide; Using the scale 2 inches = 1 foot, how long would the drawing be?
10 inches
Which of the following is not a scaled copy. Explain your reasoning.
Copy 3 is not a scaled copy because... there is no scale factor!
A model of a barn has been constructed using a scale of 1 to 48. If the model’s silo is 18 inches high, how high is the actual silo?
864 inches or 72 feet
A triangle has the side length 3, 4, 5. If it was enlarged by a scale factor of 3. What would the new perimeter be?
36
Given a scale factor of 5/4 , explain how you can tell whether the drawing is bigger or smaller than the actual object.
The object is larger. We know this because 5/4 is greater than one.
Map A has a scale of 1 inch = 100 feet.
Map B has a scale of 1 inch = 50 feet.
Which map shows the park larger, Map A or Map B?
Circle one and explain how you know in one sentence.
Map B is bigger because if 1 inch = 50 feet, then 2 inches = 100 feet. So Map B is bigger representing the same 100 feet in Map A.
Are the figures scaled copies? If so, what is the scale factor?
yes, the scale factor is 3.
Mitch measured the elementary school and made a scale drawing. He used the scale 1 millimeter : 6 meters. If the actual length of the school yard is 192 meters, how long is the school yard in the drawing?
32 millimeters.
On a map with a scale of 1 inch to 12 feet, the perimeter of a restaurant is 60 in. Han says that the actual perimeter of the restaurant is 720 ft. Do you agree or disagree? Explain your reasoning.
Agree.
When you multiply 12x60 it equals 720.
A man in a photograph is 2 inches in height. If the man is 6 feet tall, what is the scale factor?
1in to 3ft
10 cm = 1 m
650 cm = ____ m
6.5 meters