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Dilations or scaling around a point
In addition to the three rigid transformation, there are the dilations, which expand or shrink figures while keeping the same proportions. These are extremely important in the subject of Similarity!
Gain experience by performing dilation, learn how to find the dilation that maps a given figure to another, and learn how to manually draw the image of a dilation.
Sal shows how to perform a dilation on a hexagon using our interactive widget!
Use the interactive transformation tool to perform dilations.
Sal is given a triangle on the coordinate plane and he draws the image of the triangle under a dilation with scale factor 1/2 about the origin.
Sal is given a rectangle on the coordinate plane and he draws the image of the rectangle under a dilation with scale factor 1 2/3 about an arbitrary point.
Given a figure and a definition of a dilation, manually draw the image.
Sal shows how we can use dilations to map a line into another, parallel, line.
Find both the center and the scale factor of a dilation that maps a given figure to another one.