College Geometry

From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer's Sketchpad, a book that is ideal for geometry courses for both mathematics and math education majors. The book's truly discovery-based approach guides students to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, students hone their understanding of geometry and their ability to write rigorous mathematical proofs. PREFACE xv

ONE Using The Geometer’s Sketchpad 1

TWO Constructing → Proving 21

THREE Mathematical Arguments and Triangle Geometry 53

FOUR Circle Geometry and Proofs 85

FIVE Analytic Geometry 111

SIX Taxicab Geometry 143

SEVEN Finite Geometries 161

EIGHT Transformational Geometry 185

NINE Isometries and Matrices 209

TEN Symmetry in the Plane 229

ELEVEN Hyperbolic Geometry 253

TWELVE Projective Geometry 287

APPENDIX A Trigonometry 317

APPENDIX B Calculating with Matrices 329

BIBLIOGRAPHY 337

INDEX 341

Barbara E. Reynolds and William E. Fenton are the authors of College Geometry: Using the Geometer's Sketchpad, published by Wiley.