Question

What is the scale factor of the dilation?

Answer 1

`(1)/(2)`

Explanation:

It is given that triangle ACB is the preimage and triangle DFE is the image.

We need to find the scale factor of the dilation.

`\text{Scale factor}=\frac{\text{Side of image}}{\text{Corresponding side of preimage}}`

In the given triangles, side AC and DF are corresponding sides.

`\text{Scale factor}=(DF)/(AC)`

`\text{Scale factor}=(6)/(12)`

`\text{Scale factor}=(1)/(2)`

Therefore, the scale factor of the dilation is
`(1)/(2)`.