Exploring Dilations on the Coordinate Plane
Explore dilations on the following graphs. Be ready to discuss the following questions:
1. How does the scale factor and center influence the location of the pre-image and corresponding image points with regards to the center?
2. How does the scale factor and center influence the length of the pre-image sides and their corresponding image sides?
3. How does the scale factor and center influence the location of the image with regards to the pre-image?
4. Are there other relationships between the pre-image, image, scale factor and center?
5. Using the second graph, find the relationship between the scale factor and the ratio of the area of the image to the area of pre-image.
6. Using the second graph, find the relationship between the scale factor and the ratio of the perimeter of the image to the perimeter of the pre-image.