[b]Explore dilations on the following graphs. Be ready to discuss the following questions:[br][/b][br] 1. How does the scale factor and center influence the location of the pre-image and corresponding image points with regards to the center?[br][br] 2. How does the scale factor and center influence the length of the pre-image sides and their corresponding image sides?[br][br] 3. How does the scale factor and center influence the location of the image with regards to the pre-image?[br][br] 4. Are there other relationships between the pre-image, image, scale factor and center?[br][br] 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. [br][br] 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.[br][br][br][br]