Course Outline
These topics comprise the material normally taught in a high school Geometry course.

Chapter 1: Introduction to Geometry
Lines, Angles, Polygons, Polyhedra, Constructions

Chapter 2: Deductive Reasoning
Conditional Statements, Definitions, Direct and Indirect Proof, Geometry as a Deductive System, Famous Geometry Theorems

Chapter 3: Lines and Angles
Number Operations from Algebra, Rulers and Distance, Protractors and Angles, Bisection, Complementary and Supplementary Angles, Linear Pairs, Vertical Angles, Perpendicular Lines, Parallel Lines

Chapter 4: Congruence
Coordinates and Distance, Congruent Polygons, ASA Congruence, SAS Congruence, Proofs involving Congruence, Isosceles Triangles, Equilateral Trianges, SSS Congruence, Constructions

Chapter 5: Inequalities
Properties of Inequality, The Exterior Angle Theorem, Triangle Side and Angle Inequalities, The Triangle Inequality Theorem

Chapter 6: Parallel Lines
Line Symmetry, Parallel Lines, The Parallel Postulate, Angles formed by Parallel Lines, The Angles of a Triangle, AAS Congruence, HL Congruence

Chapter 7: Quadrilaterals
Quadrilaterals, Parallelograms, Point Symmetry, Rectanbles, Rhombuses, Squares, Trapezoids, The Midsegment Theorem

Chapter 8: Transformations
Transformations, Reflections, Isometries, Congruence, Symmetry

Chapter 9: Area
Areas of Squares and Rectangles, Areas of Triangles, Parallelograms and Trapezoids, The Pythagorean Theorem

Chapter 10: Similarity
Ratios and Proportions, Similar Figures, the SideSplitter Theorem, AA Similarity, Dilations, Perimeters and Areas of Similar Figures

Chapter 11: Right Triangles
Proportions in Right Triangles, The Pythagorean Theorem, Isosceles Right Triangles, 306090 Triangles, The Tangent Ratio, Sine and Cosine, Slope, The Law of Sines, The Law of Cosines

Chapter 12: Circles
Circles, Radii, Chords, Tangents, Central Angles, Arcs, Inscribed Angles, Secant Angles, Tangent Segments, Intersecting Chords

Chapter 13: The Concurrence Theorems
Triangles and Circles, Cyclic Quadrilaterals, Incircles, The Centroid, Ceva's Theorem, Napoleon's Discovery

Chapter 14: Regular Polygons and the Circle
Regular Polygons, Perimeter and Area of Regular Polygons, Polygons and Pi, The Area of a Circle, Sectors and Arcs

Chapter 15: Geometric Solids
Lines and Planes in Space, Solid Geometry, Rectangular Solids, Prisms, The Volume of a Prism, Pyramids, Cylinders and Cones, Spheres, Similar Solids, The Regular Polyhedra
