Geometry Book



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Chapter 1 Basics of Geometry
1-1 Patterns and Inductive Reasoning
1-2 Points, Lines, and Planes
1-3 Segments and Their Measures
1-4 Angles and Their Measures
1-5 Segment and Angle Bisectors
1-6 Angle Pair Relationships
1-7 Introduction to Perimeter, Circumference, and Area
Chapter Review and Test

Chapter 2 Reasoning and Proof
2-1 Conditional Statements
2-2 Definitions and Biconditional Statements
2-3 Deductive Reasoning
2-4 Reasoning with Properties from Algebra
2-5 Proving Statements with Segments
2-6 Proving Statements about Angles
Chapter Review and Test

Chapter 3 Perpendicular and Parallel Lines
3-1 Lines and Angles
3-2 Proof and Perpendicular Lines
3-3 Parallel Lines and Transversals
3-4 Proving Lines are Parallel
3-5 Using Properties of Parallel Lines
3-6 Parallel Lines in the Coordinate Plane
3-7 Perpendicular Lines in the Coordinate Plane
Chapter Review and Test

Chapter 4 Congruent Triangles
4-1 Triangles and Angles
4-2 Congruence and Triangles
4-3 Proving Triangles are Congruent: SSS and SAS
4-4 Proving Triangles are Congruent: ASA and AAS
4-5 Using Congruent Triangles
4-6 Isosceles, Equilateral and Right Triangles
4-7 Triangles and Coordinate Proof
Chapter Review and Test

Chapter 5 Properties of Triangles
5-1 Perpendiculars and Bisectors
5-2 Bisectors of a Triangle
5-3 Medians and Altitudes of a Triangle
5-4 Midsegment Theorem
5-5 Inequalities in One Triangle
5-6 Indirect Proof and Inequalities in Two Triangles
Chapter Review and Test

Chapter 6 Quadrilaterals
6-1 Polygons
6-2 Properties of Parallelograms
6-3 Proving Quadrilaterals are Parallelograms
6-4 Rhombuses, Rectangles, and Squares
6-5 Trapezoids and Kites
6-6 Special Quadrilaterals
6-7 Areas of Triangles and Quadrilaterals
Chapter Review and Test

Chapter 7 Transformations
7-1 Rigid Motion in a Plane
7-2 Reflections
7-3 Rotations
7-4 Translations and Vectors
7-5 Glide Reflections and Compositions
7-6 Frieze Patterns
Chapter Review and Test

Chapter 8 Similarity
8-1 Ratio and Proportion
8-2 Problem Solving in Geometry with Proportions
8-3 Similar Polygons
8-4 Similar Triangles
8-5 Proving Triangles are Similar
8-6 Proportions and Similar Triangles
8-7 Dilations
Chapter Review and Test

Chapter 9 Right Triangles and Trigonometry
9-1 Similar Right Triangles
9-2 The Pythagorean Theorem
9-3 The Converse of the Pythagorean Theorem
9-4 Special Right Triangles
9-5 Trigonometric Ratios
9-6 Solving Right Triangles
9-7 Vectors
Chapter Review and Test

Chapter 10 Circles
10-1 Tangents to Circles
10-2 Arcs and Chords
10-3 Inscribed Angles
10-4 Other Angle Relationships in Circles
10-5 Segment Lengths in Circles
10-6 Equations of Circles
10-7 Locus
Chapter Review and Test

Chapter 11 Area of Polygons and Circles
11-1 Angle Measures in Polygons
11-2 Areas of Regular Polygons
11-3 Perimeters and Areas of Similar Figures
11-4 Circumference and Arc Length
11-5 Areas of Circles and Sectors
11-6 Geometric Probability
Chapter Review and Test

Chapter 12 Surface Area and Volume
12-1 Exploring Solids
12-2 Surface Area of Prisms and Cylinders
12-3 Surface Area of Pyramids and Cones
12-4 Volume of Prisms and Cylinders
12-5 Volume of Pyramids and Cones
12-6 Surface Area and Volume of Spheres
Chapter Review and Test

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