Geometry Module 2

Math formulas

Geometry Module 2: Similarity, Proof, and Trigonometry

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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Common Core Learning Standards

CCLS State Standard
G.SRT.1 Verify experimentally the properties of dilations given by a center and a scale factor:
G.SRT.2 Given two figures, use the definition of similarity in terms of similarity transformations to...
G.SRT.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to...

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