Motions in Geometry |  |
Chapter DescriptionsSection 11.1Congruence and Constructions: Defines congruence in terms of mappings and introduces constructions to establish the triangle inequality and common congruence properties of triangles. Subsections: Mappings; Constructing Segments and Angles; Constructing Triangles; Constructing Bisectors; Constructing Perpendicular and Parallel Lines; Circumscribing Circles about Triangles; Constructions with a Mira; Problem-Solving Application One-page Math Activity: Tracing Figures from Motions with Tile Section 11.2Congruence Mappings: Illustrates the congruence mappings of translation, reflection, and rotation with physical examples of 2-D and 3-D figures, and outlines methods for creating Escher-type tessellations. Subsections: Translations; Reflections; Rotations; Composition of Mappings; Congruence; Mapping Figures onto Themselves; Escher-Type Tessellations; Problem-Solving Application One-page Math Activity: Rotating, Reflecting, and Translating Figures on GridsInteractive Applet: TessellationsSection 11.3Similarity Mappings: Illustrates similarity mappings with both positive and negative scale factors for 2-D and 3-D figures, and develops the familiar similarity properties of triangles. Subsections: Similarity and Scale Factors; Similar Polygons; Similar Triangles; Problem-Solving Application; Scale Factors with Area and Volume; Sizes and Shapes of Living Things One-page Math Activity: Enlargements with Pattern Blocks
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