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Dilating a Line

by Allen Wolmer

An exercise, commentary, and solutions from Illustrative Mathematics
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Dilations

by Allen Wolmer

DilationsWhen you dilate a line segment, how is the original line segment related to the image?Lessons, videos, exercises, and text from CK-12. Additional resources available at this site.
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Students review the properties of basic rigid motions.Students understand the properties of dilations and that a dilations is also an example of a transformation of the plane.Teacher and Student versions of full lesson from engageNY
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Students examine the effects of dilating figures from two different centers.  By experimental verification, they examine the impact on the two dilations of having two different scale factors, the same two scale factors, and scale factors whose product equals .  Each of the parameters of these cases provides information on the centers of the dilations, their scale factors, and the relationship between individual dilations versus the relationship between an initial figure and a composition of dilations.
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