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Unit 1: G1 Constructions and Rigid Transformations
Contributors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 UnitNarrative .......................................................................5 Lesson 1: Build It . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Lesson 2: Constructing Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Lesson3:ConstructionTechniques1:PerpendicularBisectors ............................28 Lesson4:ConstructionTechniques2:EquilateralTriangles ...............................38 Lesson 5: Construction Techniques 3: Perpendicular Lines and Angle Bisectors . . . . . . . . . . . . . . 48 Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . 58 Lesson7:ConstructionTechniques5:Squares ..........................................68 Lesson 8: (Optional . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 Lesson9:NowWhatCanYouBuild? ...................................................87 Lesson 10: Sequences of Rigid Transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 Lesson11:DeUningRotations....................................................... 109 Lesson12:DeUningReVections ..................................................... 124 Lesson13:DeUningTranslations .................................................... 139 Lesson14:Symmetry.............................................................. 156 Lesson15:WorkingwithRigidTransformations ....................................... 165 Lesson16:EvidenceandProof...................................................... 177 Lesson17:TransformationsandProof............................................... 189 Lesson18:OneHundredandEighty................................................. 201 Lesson19:SpeedyDelivery......................................................... 211 Glossary......................................................................... 218 Attributions ...................................................................... 219
Unit 1
Table of Contents 3
Contributors
Writing Team