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 proportional relationship between two similar figures.

Front

If a scale factor is greater than 1, what type of transformation occurs?

Back

Enlargement.

Front

If a scale factor is less than 1, what type of transformation occurs?

Back

Reduction.

Front

What is the scale factor if a rectangle's length is doubled?

Back

2.

Front

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

Back

Multiply the distance on the map by the scale factor.

Front

If the scale on a map is 1 inch = 100 miles, what is the actual distance for 2.5 inches?

Back

250 miles.

Front

What is the scale factor if a shape is reduced to half its size?

Back

1/2.

Front

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

Back

The area of the scaled rectangle is 9 times the area of the original rectangle.

Front

What is the formula to calculate the area of a rectangle?

Back

Area = length × width.

Front

If a map shows a distance of 6 inches and the scale is 1 inch = 50 miles, what is the actual distance?

Back

300 miles.