# Lesson 1

- Author:
- Arpit Kesharwani

## Introduction to Dilations

**Dilation and Center (of Dilation)**- A dilation with center O and positive scale factor r takes a point P along the line OP to another point whose distance is

*r*times further away from O than P is. If r<1 then the new point is really closer to O, not further away. The triangle

*DEF*is a dilation of the triangle ABC with center O and with scale factor 3. So D is 3 times further away from O than A is,

*E*is 3 times further away from O than Bis, and F is 3 times further away from O than

*C*is.

## Dilations Grid

## Dilate the figure by 2, and the dilation point as A. Then dilate it by 1/2 and the point as A. What do you notice?

Dilate the figure by 2, and the dilation point as A. Then dilate it by 1/2 and the point as A. What do you notice?