Dilation Examples
- Author:
- Laura Travis
THESE ARE EXAMPLES AND ARE DIFFERENT FROM YOUR ASSIGNMENT. DO NOT COPY THESE PROBLEMS ONTO YOUR ASSIGNMENT. YOU WILL RECIEVE 0 CREDIT IF YOU COPY THESE EXAMPLES.
Graph the Dilation
In the following graphs, you will be given a red pre-image and a scale factor. Figure out what the dilated image will look like and the use the Polygon tool to graph the dilation.
DO NOT MOVE THE RED PRE-IMAGE OR YOU WILL ONLY GET HALF CREDIT FOR THAT PROBLEM. If you accidentally move the red pre-image, you can reset the graph using the circular arrows in the top right corner of the graph.
All dilations will be centered at the origin at (0,0)
Example1: Graph a dilation of the given figure from the origin with a scale factor of 0.5 or 1/2
Example 2: Graph a dilation of the given figure from the origin with a scale factor of 3
Example 3: Graph a dilation of the given figure from the origin with a scale factor of 1.5 or 3/2
Example 4: Dilate the given figure from the origin with a scale factor of 2.5 or 5/2
Find the Scale Factor
In this section, look at the given graph and find the scale factor required to go from the red pre-image to the blue image. The scale factor may be written as a decimal or a fraction. Some scale factors will be whole numbers.
DO NOT MOVE ANY POINTS ON THE GRAPHS BELOW OR YOU WILL ONLY GET HALF CREDIT FOR THAT PROBLEM. If you accidentally move something, you can reset the graph using the circular arrows in the top right corner of the graph.
All dilations are centered at the origin at (0,0)
Example 5
What is the scale factor to go from the red triangle ABC to the blue triangle A'B'C' for the graph in Example 5 if the center of dilation is at the origin?
Example 6
What is the scale factor to go from the red triangle ABC to the blue triangle A'B'C' for the graph in Example 6 if the center of dilation is at the origin?