# How does dilation affect the length of line segments?

##### 1 Answer

*Dilation* of segment

The length is transformed as

#### Explanation:

*Dilation* or *scaling* is the transformation of the two-dimensional plane or three-dimensional space according to the following rules:

(a) There is a fixed point *center of scaling*.

(b) There is a real number *factor of scaling*.

(c) The transformation of any point

It can be proven that the image of a straight line

Segment

*Dilation* preserves parallelism among lines and angles between them.

The length of any segment

The above properties and other important details about transformation of scaling can be found on Unizor