# Geometry

### Course Info

Chapter 1 – LINE AND ANGLE RELATIONSHIPS

• 1.1  Sets, Statements and Reasoning
• 1.2  Informal Geometry and Measurement
• 1.3  Early Definitions and Postulates
• 1.4  Angles and Their Relationships
• 1.5  Introduction to Geometric Proof
• 1.6  Relationships: Perpendicular Lines
• 1.7  The Formal Proof of a Theorem

Chapter 2 – PARALLEL LINES

• 2.1  The Parallel Postulate and Special Angles
• 2.2  Indirect Proof
• 2.3  Proving Lines Parallel
• 2.4  The Angles of a Triangle
• 2.5  Convex Polygons
• 2.6  Symmetry and Transformations

Chapter 3 – TRIANGLES

• 3.1  Congruent Triangles
• 3.2  Corresponding Parts of Congruent Triangles
• 3.3  Isosceles Triangles
• 3.4  Basic Constructions Justified
• 3.5  Inequalities in a Triangle

• 4.1  Properties of a Parallelogram
• 4.2  The Parallelogram and Kite
• 4.3  The Rectangle, Square, and Rhombus
• 4.4  The Trapezoid

Chapter 5 – SIMILAR TRIANGLES

• 5.1  Ratios, Rates, and Proportions
• 5.2  Similar Polygons
• 5.3  Proving Triangles Similar
• 5.4  The Pythagorean Theorem
• 5.5  Special Right Triangles
• 5.6  Segments Divided Proportionately

Chapter 6 – CIRCLES

• 6.1  Circles and Related Segments and Angles
• 6.2  More Angle Measures in the Circle
• 6.3  Line and Segment Relationships in the Circle
• 6.4  Some Constructions and Inequalities for the Circle

Chapter 7 – LOCUS AND CONCURRENCE

• 7.1  Locus of Points
• 7.2  Concurrence of Lines
• 7.3  More About Regular Polygons

Chapter 8 – AREAS OF POLYGONS AND CIRCLES

• 8.1  Area and Initial Postulates
• 8.2  Perimeter and Area of Polygons
• 8.3  Regular Polygons and Area
• 8.4  Circumference and Area of a Circle
• 8.5  More Area Relationships in the Circle

Chapter 9 – SURFACES AND SOLIDS

• 9.1  Prisms, Area, and Volume
• 9.2  Pyramids, Area, and Volume
• 9.3  Cylinders and Cones
• 9.4  Polyhedrons and Spheres

Chapter 10 – ANALYTIC GEOMETRY

• 10.1  The Rectangular Coordinate System
• 10.2  Graphs of Linear Equations and Slope
• 10.3  Preparing to do Analytic Proofs
• 10.4  Analytic Proofs
• 10.5  Equations of Lines

Chapter 11 – INTRODUCTION TO TRIGONOMETRY

• 11.1  The Sine Ratio and Applications
• 11.2  The Cosine Ratio and Applications
• 11.3  The Tangent Ratio and Other Ratios
• 11.4  Applications with Acute Triangles

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