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Investigating Similar Triangles and Understanding Proportionality ...

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Warm-UpCST/CAHSEEIn the diagram below, .Which of the following conclusions doesnot have to be true?A. <strong>and</strong> are supplementary angles.B. Line l is parallel to line m.C.D.What do we call the pairs of angles in answer choices C <strong>and</strong> D?Corresponding Angles <strong>and</strong> Alternate Interior AnglesUse the proof to answer the questions below.Given: ; D is the midpoint of .Prove:ReviewStatementReason1. ; D is the midpoint of . 1. Given A. AAS2. 2. Definition of Midpoint B. ASA3. 3. Reflexive Property C. SAS4. 4. ? D. SSSToday’s St<strong>and</strong>ards:CA State St<strong>and</strong>ard Geometry 4.0: Students prove basic theorems involving congruence <strong>and</strong> similarity.CA State St<strong>and</strong>ard Geometry 5.0: Students prove that triangles are congruent or similar, <strong>and</strong> they are able to use theconcept of corresponding parts of congruent triangles.

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