Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the ratio of the dimensions of a drawing or model to the actual dimensions.

Front

If a drawing has a scale of 1 inch = 7 yards, how long is a soccer field that is 14 inches long in the drawing?

Back

The actual length of the soccer field is 98 yards.

Front

What is the scale used if 5 inches on a map represents 210 miles?

Back

The scale is 1 inch = 42 miles.

Front

How do you find the actual distance using a scale?

Back

Multiply the distance on the map by the scale factor.

Front

What happens to a figure if the scale factor is greater than one?

Back

The figure will be enlarged.

Front

What is the scale factor if a shape is reduced from a size of 6 units to 4 units?

Back

The scale factor is 2/3.

Front

If a map has a scale of 1 inch = 40 miles, how far apart are two cities that are 4.125 inches apart on the map?

Back

The actual distance is 165 miles.

Front

What is the scale factor from a rectangle with dimensions 4x6 to a rectangle with dimensions 6x9?

Back

The scale factor is 3/2.

Front

How do you convert a scale drawing to actual dimensions?

Back

Multiply the dimensions in the drawing by the scale factor.

Front

What is the relationship between scale factor and proportionality?

Back

A scale factor maintains proportionality between the dimensions of the original figure and the scaled figure.