ISBN: 9780133234695

Author: Pearson

Published: 2014

## Chapters: 1 2 3 4 5 6 7 8

### Chapter 1

Reasoning And Proof

Get Ready! | p.1 | ||

1-1 | Basic Constructions | Exercises | p.4 |

1-2 | Patterns and Inductive Reasoning | Exercises | p.12 |

1-3 | Conditional Statements | Exercises | p.20 |

1-4 | Biconditionals and Definitions | Exercises | p.27 |

1-5 | Deductive Reasoning | Exercises | p.35 |

1-6 | Reasoning in Algebra and Geometry | Exercises | p.42 |

1-7 | Proving Angles Congruent | Exercises | p.49 |

Chapter Review | p.58 |

### Chapter 2

Proving Theorems About Lines And Algebra

Get Ready! | p.63 | ||

2-1 | Lines and Angles | Exercises | p.66 |

2-2 | Properties of Parallel Lines | Exercises | p.73 |

2-3 | Proving Lines Parallel | Exercises | p.83 |

2-4 | Parallel and Perpendicular Lines | Exercises | p.93 |

2-5 | Parallel Lines and Triangles | Exercises | p.100 |

2-6 | Constructing Parallel and Perpendicular Lines | Exercises | p.107 |

Chapter Review | p.115 |

### Chapter 3

Congruent Triangles

Get Ready! | p.119 | ||

3-1 | Congruent Figures | Exercises | p.122 |

3-2 | Triangle Congruence by SSS and SAS | Exercises | p.130 |

3-3 | Triangle Congruence by ASA and AAS | Exercises | p.139 |

3-4 | Using Corresponding Parts of Congruent Triangles | Exercises | p.149 |

3-5 | Isosceles and Equilateral Triangles | Exercises | p.158 |

3-6 | Congruence in Right Triangles | Exercises | p.168 |

3-7 | Congruence in Overlapping Triangles | Exercises | p.174 |

3-8 | Congruence Transformations | Exercises | p.184 |

Chapter Review | p.192 |

### Chapter 4

Proving Theorems About Triangles

Get Ready! | p.197 | ||

4-1 | Midsegments of Triangles | Exercises | p.201 |

Exercises | p.201 | ||

4-2 | Perpendicular and Angle Bisectors | Exercises | p.208 |

4-3 | Bisectors in Triangles | Exercises | p.217 |

4-4 | Medians and Altitudes | Exercises | p.224 |

4-5 | Indirect Proof | Exercises | p.233 |

4-6 | Inequalities in One Triangle | Exercises | p.240 |

4-7 | Inequalities in Two Triangles | Exercises | p.250 |

Chapter Review | p.257 |

### Chapter 5

Proving Theorems About Quadrilaterals

Get Ready! | p.261 | ||

5-1 | The Polygon-Angle Sum Theorems | Exercises | p.264 |

5-2 | Properties of Parallelograms | Exercises | p.272 |

5-3 | Proving That a Quadrilateral is a Parallelogram | Exercises | p.282 |

5-4 | Properties of Rhombuses, Rectangles, and Squares | Exercises | p.290 |

5-5 | Conditions of Rhombuses, Rectangles, and Squares | Exercises | p.300 |

5-6 | Trapezoids and Kites | Exercises | p.307 |

5-7 | Applying Coordinate Geometry | Exercises | p.317 |

5-8 | Proofs Using Coordinate Geometry | Exercises | p.325 |

Chapter Review | p.330 |

### Chapter 6

Similarity

Get Ready! | p.335 | ||

6-1 | Ratios and Proportions | Exercises | p.338 |

6-2 | Similar Polygons | Exercises | p.349 |

6-3 | Proving Triangles Similar | Exercises | p.359 |

6-4 | Similarity in Right Triangles | Exercises | p.371 |

6-5 | Proportions in Triangles | Exercises | p.383 |

6-6 | Dilations | Exercises | p.394 |

6-7 | Similarity Transformations | Exercises | p.402 |

Chapter Review | p.409 |

### Chapter 7

Right Triangles And Trigonometry

Get Ready! | p.413 | ||

7-1 | The Pythagorean Theorem and Its Converse | Exercises | p.416 |

7-2 | Special Right Triangles | Exercises | p.427 |

7-3 | Trigonometry | Exercises | p.439 |

7-4 | Angles of Elevation and Depression | Exercises | p.448 |

7-5 | Areas of Regular Polygons | Exercises | p.455 |

Chapter Review | p.462 |

### Chapter 8

Circles

Get Ready! | p.465 | ||

8-1 | Circles and Arcs | Exercises | p.468 |

8-2 | Areas of Circles and Sectors | Exercises | p.478 |

8-3 | Tangent Lines | Exercises | p.490 |

8-4 | Chords and Arcs | Exercises | p.500 |

8-5 | Inscribed Angles | Exercises | p.511 |

8-6 | Angle Measures and Segment Lengths | Exercises | p.520 |

Chapter Review | p.527 |