# How does a dilation affect a figure on a coordinate plane?

##### 1 Answer

Assuming the center of dilation is at point

See more details below.

#### Explanation:

*Dilation* or *scaling* is the transformation of the plane 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

Using coordinates, the above properties can be expressed in the following form.

Assuming the center of dilation is at point

If the center of dilation is at point

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