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module 2
34 Instructional days (34 hours)

Similarity, Proof, and Trigonometry


Description

Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2. To be able to discuss similarity, students must first have a clear understanding of how dilations behave. This is done in two parts, by studying how dilations yield scale drawings and reasoning why the properties of dilations must be true. Once dilations are clearly established, similarity transformations are defined and length and angle relationships are examined, yielding triangle similarity criteria. An in-depth look at similarity within right triangles follows, and finally the module ends with a study of right triangle trigonometry.

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Credits

From EngageNY.org of the New York State Education Department. Geometry Module 2. Available from engageny.org/resource/geometry-module-2; accessed 2015-05-29.
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