Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is the ratio of the dimensions of a scaled figure to the dimensions of the original figure.

Front

How do you calculate the scale factor between two similar figures?

Back

To calculate the scale factor, divide the length of a side of the scaled figure by the length of the corresponding side of the original figure.

Front

What is the scale factor if a drawing measures 10 units and the original measures 5 units?

Back

The scale factor is 2:1.

Front

If the scale factor is 3:1, what does this mean?

Back

This means that the dimensions of the scaled figure are three times larger than the dimensions of the original figure.

Front

What is the relationship between the scale factor and area?

Back

The area of a scaled figure is proportional to the square of the scale factor. If the scale factor is k, the area scales by k^2.

Front

What is the scale factor if a model is 4 times larger than the original?

Back

The scale factor is 4:1.

Front

If two figures are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar figures are equal.

Front

What does it mean for two figures to be 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

How can you determine if Figure B is a scaled copy of Figure A?

Back

You can determine this by checking if the corresponding sides are proportional and the corresponding angles are equal.

Front

What is the scale factor from a triangle with sides measuring 3, 4, and 5 to a triangle with sides measuring 6, 8, and 10?

Back

The scale factor is 2:1.