# What are some examples of dilation?

##### 1 Answer

See below

#### Explanation:

Here is an example of *dilation* (also known as *scaling*).

*Dilation* is a transformation on the plane when there is a rule that transforms every point to its image as follows.

There is a *center of dilation* *factor*

Every point *center*

(a) point

(b) length *factor*

(if *center* *center*

*Dilation* preserves parallelism between lines.

*Dilation* results in all segments to change their length by the same factor

*Dilation* preserves the angles between lines.

*Dilation* transforms geometric figures into *similar* ones.

Actually, the definition of similarity is best approached from the position of *dilation*:

Two geometric objects, *similar* if there is a transformation of *dilation* (or *scaling*) defined by some *center* *factor*

For more properties of *dilation* (*scaling*) look into Web site Unizor dedicated to presentation of advanced math for high school. There you can find proofs of the above properties and numerous problems.