Section 9.1 Plane Figures: Introduces a mathematical system which is followed by familiar definitions from plane geometry involving points, lines, angles, and various types of polygons. Subsections: Mathematical Systems; Points, Lines, and Planes; Half-Planes, Segments, Rays, and Angles; Angle Measurements; Perpendicular and Parallel Lines; Curves and Convex Sets; Polygons; Problem-Solving Application One-page Math Activity: Angles in Pattern Block Figures
Section 9.2 Polygons and Tessellations: Illustrates congruence and classifies both regular and nonregular polygons as to whether or not they tessellate. Subsections: Angles in Polygons; Congruence; Regular Polygons; Drawing Regular Polygons; Tessellations with Polygons; Problem-Solving Application One-page Math Activity: Tessellations with Polygons
Section 9.3 Space Figures: Introduces regular and semiregular polyhedra and provides examples from architecture and nature. Three types of map projections are illustrated and parallels of latitude and meridians of longitude are used for spherical coordinates. Subsections: Planes; Polyhedra; Regular Polyhedra; Pyramids and Prisms; Cones and Cylinders; Spheres and Maps; Problem-Solving Application One-page Math Activity: Nets for Three-Dimensional Figures
Section 9.4 Symmetric Figures: Explains reflection and rotation symmetries for plane and space figures and illustrates these symmetries with examples from architecture and nature. Subsections: Reflection Symmetry for Plane figures; Rotation Symmetry for Plane Figures; Reflection Symmetry for Space Figures; Rotation Symmetry for Space Figures; Problem-Solving Application One-page Math Activity: Symmetries of Pattern Block Figures
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