# How do dilations relate to similarity?

##### 1 Answer

Mar 25, 2016

*Dilation* transforms one figure into another one, **similar to original**.

So,

#### Explanation:

*Dilation* is a transformation of *scaling* that requires a *center* of scaling and a *factor* of scaling.

*Similarity* is a relationship between two figures when there is a special transformation that transforms one figure into another.

This transformation can include any combination of rotation, shift and dilation.

That's why a pair of a source and its image after dilation are similar, but not all similar figures can be connected by dilation. For instance, rotation and/or shift transform a figure into another, similar one to the original, but not related through dilation..