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

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 does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

How do you find the missing side of a similar figure?

Back

To find the missing side, set up a proportion using the corresponding sides of the similar figures and solve for the unknown.

Front

If triangle ABC is similar to triangle DEF and the scale factor is 2, what is the relationship between their sides?

Back

The sides of triangle DEF are twice the length of the corresponding sides of triangle ABC.

Front

What is the scale factor if the original figure has a side length of 4 and the new figure has a side length of 12?

Back

The scale factor is 3 (12 divided by 4).

Front

If two figures are not similar, what can we say about their angles and sides?

Back

If two figures are not similar, their corresponding angles are not equal, and their corresponding sides are not in proportion.

Front

What is the scale factor if a figure is reduced from a size of 10 to a size of 5?

Back

The scale factor is 0.5 (5 divided by 10).

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 angles are equal and the sides are in proportion.

Front

If the scale factor is 1, what does that indicate about the two figures?

Back

It indicates that the two figures are congruent, meaning they are the same size and shape.