Introduction 1Part 1: The Questions 3Chapter 1: Diving into Geometry 5Chapter 2: Constructions 13Chapter 3: Geometric Proofs with Triangles 17Chapter 4: Classifying Triangles 31Chapter 5: Investigating the Centers of a Triangle 41Chapter 6: Similar Triangles 49Chapter 7: The Right Triangle 59Chapter 8: Triangle Inequalities 67Chapter 9: Polygons 75Chapter 10: Properties of Parallel Lines 81Chapter 11: Properties of Quadrilaterals 89Chapter 12: Coordinate Geometry 97Chapter 13: Transformational Geometry 105Chapter 14: Exploring Circles 121Chapter 15: Circle Theorems 127Chapter 16: Three-Dimensional Geometry 141Chapter 17: Locus Problems 149Part 2: The Answers 155Chapter 18: Answers and Explanations 157Index 439
Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.