# Finding the Center of Dilation

- Author:
- Christopher Virga

## Finding the center of dilation

In the applet below, construct lines through corresponding points of the image and pre-image (i.e. A and A').
Use the slider to change the scale factor of the dilation.
Consider the following questions:
1) What do you notice? Were you surprised by this? Why or why not?
2) What is point E as it relates to the diagram? What convinced you of this?
3) Move Point E to coincide with the vertices of the quadrilateral. What do you notice?
4) Measure the line segment and . Use the slider to change the Scale factor. What is the relationship between the two segments? Can you write an equation defining the relationship?