Use the following construction to explore dilations and answer the questions that follow.
Questions: 1. What happens when you set the scale factor to 1? Greater than 1? Less than 1? 2. In what ways does the scale factor affect the dilation? 3. Try moving the Center to different locations, outside the Preimage, inside, on the edge or vertex of the Preimage. How does the position of the center affect the image?