Major Objectives of Chapter 11: Extending Geometry

o give examples of transformations that (a) preserve both size and shape, (b) preserve only shape, and (c) preserve neither size nor shape;

o identify and create reflectional, transformational, and rotational symmetry properties of two-dimensional geometric figures;

o describe some basic polygons or combinations of polygons that will tessellate the plane;

o create a tessellation of the plane;

o describe the properties of a golden rectangle and a golden triangle;

o solve vertex edge graph problems;

o visualize polyhedra from patterns and verify that Euler’s formula holds true; and

o visualize the figures created by nets or perspective drawings.