# DILATION

### By Alex Tainter and Julia Bradley

## What is it?

**A dilation is a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.**

**Scale factor- The ratio of any two corresponding lengths in two similar geometric figures.**

## FUNCTION RULE

**Ds (x,y)=(sx,sy)**

s= scale factor

Ds= dilation of scale factor (s)

## Example 1

## Example 2

## Example 3

**This example shows the dilation with the center point showing, and how the shapes both line up with it**.

**The center point is usually (0,0), but it can also be any other point on the coordinate plane.**

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