Scale Factor Practice

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine how much larger or smaller a figure is compared to the original.

Front

If the scale factor is 1/2, what does it indicate about the size of the new figure?

Back

It indicates that the new figure is a reduction of the original figure, making it half the size.

Front

What does a scale factor greater than 1 signify?

Back

It signifies that the new figure is an enlargement of the original figure.

Front

How do you calculate the actual distance using a map scale?

Back

Multiply the distance on the map by the scale factor to find the actual distance.

Front

If a map scale is 1 inch = 42 miles, how far apart are two cities that are 10 inches apart on the map?

Back

420 miles (10 inches x 42 miles/inch).

Front

What is the scale factor if a triangle is enlarged from a size of 3 cm to 6 cm?

Back

The scale factor is 2 (6 cm / 3 cm).

Front

What is the scale factor if a rectangle is reduced from 8 cm to 4 cm?

Back

The scale factor is 1/2 (4 cm / 8 cm).

Front

If a figure has a scale factor of 3, what is the relationship between the areas of the original and new figure?

Back

The area of the new figure is 9 times larger than the area of the original figure (3^2 = 9).

Front

What is the formula to find the scale factor?

Back

Scale Factor = New Size / Original Size.

Front

If a map shows a distance of 2 inches representing 100 miles, what is the scale?

Back

1 inch = 50 miles (100 miles / 2 inches).