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Rigid Motions: Translations Reflections Rotations Similarity Transformations: ( ) & Dilations Opener Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'. 1. 2.3. A B C A' B' C' A B C A' C' B' A C B A' C' B' D E E' D'
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Opener A B C A' B' C' Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'. 1.
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Opener A B C D E A' C' B' E' D' Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'. 2.
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Opener 3. A C B A' C' B' Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'.
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Essential Question Learning Objective What can you conclude about similar triangles and how can you prove triangles are similar? Given two figures, I will determine whether or not they are similar using a sequence of similarity transformations.
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Dilations Translations Reflections Rotations Translations Reflections Rotations
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equivalent equations AB They are equal by TRANSITIVE PROPERTY ( they all equal the same scale factor k).
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you should know: what you've learned: What is perimeter and area how to calculate perimeter and area of rectangles, squares, and triangles undefined terms: point, line, plane defined terms: segment, ray, angle, parallel, perpendicular angle pair relationships: complementary, supplementary, linear pair, vertical angles Transformations: (reflections, translations, rotations) & (dilations) Congruence Triangle congruence shortcuts: SSS, SAS, ASA Triangle Facts: Triangle Sum, 3rd Angles ≅ Constructions: ≅ segments, ≅ triangles, perpendicular bisectors, ≅ angles, angle bisectors, parallel segments, equilateral triangles, regular hexagon, square Similarity 6.3 Similarity
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Essential Question Learning Objective What can you conclude about similar triangles and how can you prove triangles are similar? Given two figures, I will determine whether or not they are similar using a sequence of similarity transformations.
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Closure
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HW none
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