Question

The blue shape is a dilation of the black shape. The scale factor is ____.

Answer 1

To be able to get the scale factor of the given figures, let's first get the measures of each of their sides and get the ratio of any of the corresponding sides. Let's select the shortest side of the two figures.

We get,

Figure 1: (Black Figure)

Measure of the shortest side: 1 Unit

Figure 2: (Blue Figure)

Measure of the shortest side: 3 Units

Let's now determine the scale factor:

`\text{Scale Factor (Ratio) = }\frac{\text{Measure of the side of the New Figure}}{Measure\text{ of the side of the Original Figure}}`
`\text{Scale Factor (Ratio) = }\frac{\text{3}}{1}\text{ = 3}`

Therefore, the scale factor is 3.