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GeoGebraGeoGebra Classroom

Exploring Dilations in the Coordinate Plane

Explore dilations on the following graphs. Be ready to discuss the following topics: 1. How does the scale factor 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. 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 pre-image.

Dilations