Click on the sketch below to explore the meaning of dilation.
Dilating an object makes it bigger or smaller without changing it's shape. In order to do a dilation, you need three pieces of information...
Click on the sketch below to learn to dilate an object using Sketchpad. The instructions are below the picture.
In this sketch you have been provided with an object to dilate (the big arrow) and a point C to use as a center of dilation. You have also been given a point P on the object so you can do some mathematical exploration of the dilation process. Use the following procedures...
Now investigate the dilation process...
There is some mathematical terminology about dilations that you should learn because we will use it again. Your original object before dilation is called a pre-image and the object that results from the dilation is the image. The images of points like P are often designated as P' for the first dilation, P'' for the second, etc.
After this investigation, you should know how to dilate an object using Sketchpad. You should also have some idea how the dilation ratio is related to the result of the dilation. If you need to experiment a little more, please feel free to play with this sketch and try some other dilations before you return to the Nine Point Circle.
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