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 the scale factor is less than one, what happens to the size of the figure?

Back

The figure will be a reduction.

Front

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

Back

Multiply the distance on the map by the scale factor.

Front

What is the scale factor if a map shows 2 inches = 40 miles?

Back

The scale factor is 20 miles per inch.

Front

If a triangle has a scale factor of 2, how does its area change?

Back

The area increases by a factor of 4 (2 squared).

Front

What is the area of a square with a side length of 25 feet?

Back

625 square feet.

Front

If Amanda's scale drawing uses a scale of 2 inches = 5 feet, what is the scale factor?

Back

The scale factor is 1/2 (since 2 inches represents 5 feet).

Front

What is the area of Amanda's scale drawing of a square garden with a side length of 10 inches?

Back

100 in².

Front

How do you find the new size of a figure when given the original size and scale factor?

Back

Multiply the original size by the scale factor.

Front

If a shape is enlarged by a scale factor of 3, what happens to its dimensions?

Back

Each dimension is multiplied by 3.