Rigid Motions: Translations Reflections Rotations Similarity Transformations: ( ) & Dilations Opener Describe a sequence of similarity transformations.

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Presentation transcript:

Rigid Motions: Translations Reflections Rotations Similarity Transformations: ( ) & Dilations Opener Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C' A B C A' B' C' A B C A' C' B' A C B A' C' B' D E E' D'

Opener A B C A' B' C' Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'. 1.

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.

Opener 3. A C B A' C' B' Describe a sequence of similarity transformations to map ΔABC to ΔA'B'C'.

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.

Dilations Translations Reflections Rotations Translations Reflections Rotations

equivalent equations AB They are equal by TRANSITIVE PROPERTY ( they all equal the same scale factor k).

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

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.

Closure

HW none