1 What's in a Name

1.1 Why Names and Symbols?

1.2 Points Lines and Planes

1.3 Round and Round

1.4 Construction: Copy a Segment

1.5 The Burden of Proof

1.6 Summary

2 Angles

2.1 What is an Angle?

2.2 Measuring Angles

2.3 Straight and Vertical Angles

2.4 Parallel Lines

2.5 Angles in a Triangle

2.6 Exterior Angles

2.7 Paralle! Lines Revisited

2.8 Summary

3 Congruent Triangles

3.1 Introduction

3.2 SSS Congruence

3.3 SAS Congruence

3.4 ASA and AAS Congruence

3.5 SSA Not-Necessarily Congruence

3.6 Isosceles and Equilateral Triangles

3.7 Construction: Equilateral Trangle and Perpendicular Bisector

3.8 Summary

4 Perimeter and Area

4.1 Perimeter

4.2 Area

4.3 Same Base/Same Altitude

4.4 Summary

5 Similar Triangles

5.1 What is Similarity?

5.2 AA Similarity

5.3 SAS Similanity

5.4 SSS Similarity

5.5 Using Similarity in Problems

5.6 Constructlon: Angles and Parallels

5.7 Summary

6 Right Triangles

6.1 Pythagorean Theorem

6.2 Two Special Right Triangles

6.3 Pythagorean Triples

6.4 Congruence and Similarity Revisited

6.5 Heron's Formula

6.6 Construction: Perpendicular Lines

6.7 Summary

7 Special Parts of a Triangle

7.1 Bisectors

7.2 Perpendicular Bisectors of a Triangle

7.3 Angle Bisectors of a Triangle

7.4 Medians

7.5 Altitudes

7.6 Challenging Problems

7.7 Construction: Bisectors

7.8 Summary

8 Quadrilaterals

8.1 Quadrilateral Basics

8.2 Trapezoids

8.3 Parallelograms

8.4 Rhombl

8.5 Rectangies

8.6 Squares

8.7 lf and Only if

8.8 Quadrilateral Problems

8.9 Summary

9 Polygons

9.1 introduction to Polygons

9.2 Angles in a Polygon

9.3 Polygon Area

9.4 Polygon Problems

9.5 Construction: Regular Polygons

9.6 Summary

10 Geometric inequalities

10.1 Sides and Angles of a Triangle

10.2 Pythagoras - Not Just For Right Triangles?

10.3 The riangle tnequality

10.4 Summary

11 Circles

11.1 Arc Measure, Arc Length, and Circumference

11.2 Area

11.3 Funky Aress

11.4 Summary

12 Circles and Angles

12.1 Inscribed Angles

12.2 Angles inside and Outside Circles

12.3 Tangents

12.4 Problems

12.5 Construction; Tangents

12.6 Summary

13 Power of a Point

13.1 What is Power of a Point?

13.2 Power of a Paint Problems

13.3 Summary

14 Three-Dimensional Geometry

14.1 Planes

14.2 Prisms

14.3 Pyramids

14.4 Regular Polyhedra

14.5 Summary

15 Curved Surfaces

15.1 Cylinders

15.2 Cones

15.3 Spheres

15.4 Problems

15.5 Summary

16 The More Things Change

16.1 Transiations

16.2 Rotations

16.3 Reflections

16.4 Dilation

16.5 Changing the Question

16.6 Construction: Transformations

16.7 Summary

17 Analytic Geometry

17.1 Lines

17.2 Circles

17.3 Basic Analytic Ceometry Problems

17.4 Proofs with Analytic Geometry

17.5 Distance Between a Point and a Line

17.6 Advanced Analytic Geometry Problems

17.7 Summary

18 Introduction to Trigonometry

18.1 Trigonometry and Right Triangles

18.2 Not Just For Right Triangles

18.3 Law of Sines and Law of Cosines

18.4 Summary

19 Problem Solving Strategies in Geometry

19.1 The Extra Line

19.2 Assigning Variables

19.3 Proofs

19.4 Summary