Scale Factors and Similar Figures

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 for the size of the figure?

Back

The figure is enlarged to three times its original size.

Front

What does a scale factor of less than 1 indicate?

Back

It indicates a reduction in size.

Front

What is the scale factor from a small rectangle measuring 2 cm to a large rectangle measuring 6 cm?

Back

3

Front

If a shape is enlarged by a scale factor of 2, what happens to its area?

Back

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

Front

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

Back

0.5

Front

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

Back

Divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What is the scale factor from shape A to shape B if shape A is 4 times larger than shape B?

Back

0.25

Front

If the scale factor is 1, what does that mean for the figure?

Back

The figure remains the same size.

Front

What is the relationship between scale factors and similar figures?

Back

Similar figures have the same shape but may differ in size, and their corresponding sides are proportional based on the scale factor.