What is a scale factor?
The ratio comparing drawing size to actual size.
1 : 4 and ____ : 12
What is "3"
Rectangle B: 7 in. by 10 in.
What is "yes"
Where Else Do We Use Scale Factors?
Video Game Maps
Sports Fields
House Floor Plans
Theme Park Maps
Original Figure: 7 inches by 14 inches
Scaled Copy: 21 inches by 42 inches
What is "3"
The number you multiply side lengths by to make a similar figure
What is "scale factor"
5 : 10 and 15 : ____
What is "30"
Rectangle A: 3 in. by 7 in.
Rectangle B: 9 in. by 28 in.
What is "no"
A map has a scale of 1 inch = 10 miles. If two cities are 4.5 inches apart on the map, what is the actual distance between them?
* A) 4.5 miles
* B) 14.5 miles
* C) 45 miles
* D) 450 miles
45 miles
Original figure: 2 inches by 6 inches
Scaled figure: 18 inches by 54 inches
What is 9
When the scale factor is greater than one and the scaled copy gets bigger it is called
enlargement
A map has a scale of 1cm : 3 miles. On the map, the distance between two towns is 7cm. What is the actual distance between the two towns? Include units for your answer.
21miles
Triangle A's angles: 60, 40, and 80
Triangle B's angles: 55, 30, and 95
What is "no"- the corresponding angles are all different
A rectangular backyard is 20 feet by 30 feet. If you draw a scale drawing with a scale of 1 inch = 5 feet, what will be the dimensions of your drawing?
4 feet by 5 feet
Rectangle A: 5 inches by 25 inches
Rectangle B: 1 inch by 5 inches
What is 1/5
If the scale factor is less than 1 (example: 0.25) then this will happen to the scaled copy.
What is "it will be smaller"
A map has a scale of 1cm : 4 kilometers. The actual distance between two cities is 52 kilometers. What is the distance between the cities on the map?
13 cm
Rectangle A: 4 in. by 17 in.
Rectangle B: 6 in. by 25.5 in.
What is "yes"
A scale on a map is 2cm:5 miles. The distance on the map is 18cm. What is the ACTUAL distance?
45miles
Rectangle A: 24 inches by 48 inches
Rectangle B: 72 inches by 144 inches
What is 3
An equation where two ratios are equal
What is "proportion"
A scale on a map is 2cm:5 miles. The distance on the map is 18cm. What is the ACTUAL distance?
45miles
A house is 30 feet tall and 24 feet long. Drawing #1 is 15 inches tall and 11 inches long. Drawing #2 is 5 inches tall and 4 inches long. Which one is the scale drawing?
What is "Drawing #2"
Why do architects use scale drawings?
To show large spaces on small paper while keeping proportions
Rectangle A: 9 inches by 24 inches
Rectangle B: 3 inches by 8 inches
What is "1/3"