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 how much larger or smaller a figure is compared to another figure.

Front

How do you determine if two figures are scaled copies of each other?

Back

Two figures are scaled copies if they have the same shape but different sizes, and their corresponding sides are in proportion.

Front

If the scale factor is 3, what does that mean?

Back

It means that the new figure is 3 times larger than the original figure.

Front

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

Back

The scale factor is 2.

Front

If Figure A has a length of 4 cm and Figure B has a length of 12 cm, what is the scale factor from A to B?

Back

The scale factor is 3.

Front

What is the scale factor from a small fry to a large fry if the large fry is 3 times the size of the small fry?

Back

The scale factor is 3.

Front

If the scale factor is 1/2, how does the new figure compare to the original?

Back

The new figure is half the size of the original figure.

Front

What is the relationship between scale factor and area?

Back

If the scale factor is k, the area of the new figure is k² times the area of the original figure.

Front

If two rectangles are scale drawings, and one has a width of 4 cm and the other has a width of 12 cm, what is the scale factor?

Back

The scale factor is 3.

Front

How do you find a missing side length in a scaled figure?

Back

Use the scale factor to set up a proportion between the corresponding sides of the figures.