Table of Contents

Contents in Brief Series Authors Consulting Authors Program Authors Reviewers National From the Authors PowerGeometry.com Big Ideas Exploring Concepts Thinking Mathematically Active Learning Practice Makes Perfect Pearson Video Challenge Acing the Test BIG ideas Entry-Level Assessment

Get Ready! 1-1 Nets and Drawings for Visualizing Geometry 1-2 Points, Lines, and Planes 1-3 Measuring Segments 1-4 Measuring Angles 1-5 Exploring Angle Pairs 1 Mid-Chapter Quiz Concept Byte: Compass Designs 1-6 Basic Constructions Concept Byte: Exploring Constructions 1-7 Midpoint and Distance in the Coordinate Plane Review: Classifying Polygons 1-8 Perimeter, Circumference, and Area Concept Byte: Comparing Perimeters and Areas 1 Pull It All Together 1 Chapter Review 1 Chapter Test 1 Cumulative Test Prep

Get Ready! 2-1 Patterns and Inductive Reasoning 2-2 Conditional Statements Concept Byte: Logic and Truth Tables 2-3 Biconditionals and Definitions 2 Mid-Chapter Quiz 2-4 Deductive Reasoning 2-5 Reasoning in Algebra and Geometry 2-6 Proving Angles Congruent 2 Pull It All Together 2 Chapter Review 2 Chapter Test 2 Cumulative Test Prep

Get Ready! 3-1 Lines and Angles Concept Byte: Parallel Lines and Related Angles 3-2 Properties of Parallel Lines 3-3 Proving Lines Parallel 3-4 Parallel and Perpendicular Lines Concept Byte: Perpendicular Lines and Planes 3-5 Parallel Lines and Triangles Concept Byte: Exploring Spherical Geometry 3 Mid-Chapter Quiz 3-6 Constructing Parallel and Perpendicular Lines 3-7 Equations of Lines in the Coordinate Plane 3-8 Slopes of Parallel and Perpendicular Lines 3 Pull It All Together 3 Chapter Review 3 Chapter Test 3 Cumulative Test Prep

Get Ready! 4-1 Congruent Figures Concept Byte: Building Congruent Triangles 4-2 Triangle Congruence by SSS and SAS 4-3 Triangle Congruence by ASA and AAS Concept Byte: Exploring AAA and SSA 4 Mid-Chapter Quiz 4-4 Using Corresponding Parts of Congruent Triangles Concept Byte: Paper-Folding Conjectures 4-5 Isosceles and Equilateral Triangles Algebra Review: Systems of Linear Equations 4-6 Congruence in Right Triangles 4-7 Congruence in Overlapping Triangles 4 Pull It All Together 4 Chapter Review 4 Chapter Test 4 Cumulative Test Prep

Get Ready! Concept Byte: Investigating Midsegments 5-1 Midsegments of Triangles 5-2 Perpendicular and Angle Bisectors Concept Byte: Paper Folding Bisectors 5-3 Bisectors in Triangles Concept Byte: Special Segments in Triangles 5-4 Medians and Altitudes 5 Mid-Chapter Quiz 5-5 Indirect Proof Algebra Review: Solving Inequalities 5-6 Inequalities in One Triangle 5-7 Inequalities in Two Triangles 5 Pull It All Together 5 Chapter Review 5 Chapter Test 5 Cumulative Test Prep

Get Ready! Concept Byte: Exterior Angles of Polygons 6-1 The Polygon Angle-Sum Theorems 6-2 Properties of Parallelograms 6-3 Proving That a Quadrilateral Is a Parallelogram 6-4 Properties of Rhombuses, Rectangles, and Squares 6-5 Conditions for Rhombuses, Rectangles, and Squares 6-6 Trapezoids and Kites 6 Mid-Chapter Quiz Algebra Review: Simplifying Radicals 6-7 Polygons in the Coordinate Plane 6-8 Applying Coordinate Geometry Concept Byte: Quadrilaterals in Quadrilaterals 6-9 Proofs Using Coordinate Geometry 6 Pull It All Together 6 Chapter Review 6 Chapter Test 6 Cumulative Test Prep

Get Ready! 7-1 Ratios and Proportions Algebra Review: Solving Quadratic Equations 7-2 Similar Polygons Concept Byte: Fractals 7-3 Proving Triangles Similar 7 Mid-Chapter Quiz 7-4 Similarity in Right Triangles Concept Byte: The Golden Ratio Concept Byte: Exploring Proportions in Triangles 7-5 Proportions in Triangles 7 Pull It All Together 7 Chapter Review 7 Chapter Test 7 Cumulative Test Prep

Get Ready! Concept Byte: The Pythagorean Theorem 8-1 The Pythagorean Theorem and Its Converse 8-2 Special Right Triangles Concept Byte: Exploring Trigonometric Ratios 8-3 Trigonometry 8 Mid-Chapter Quiz Concept Byte: Measuring From Afar 8-4 Angles of Elevation and Depression Concept Byte: Law of Sines and Law of Cosines 8-5 Vectors 8 Pull It All Together 8 Chapter Review 8 Chapter Test 8 Cumulative Test Prep

Get Ready! 9-1 Translations Concept Byte: Paper Folding and Reflections 9-2 Reflections 9-3 Rotations Concept Byte: Tracing Paper Transformations 9-4 Symmetry 9 Mid-Chapter Quiz 9-5 Dilations Concept Byte: Transformations Using Vectors and Matrices 9-6 Compositions of Reflections Concept Byte: Frieze Patterns Concept Byte: Creating Tessellations 9-7 Tessellations 9 Pull It All Together 9 Chapter Review 9 Chapter Test 9 Cumulative Test Prep

Get Ready! Concept Byte: Transforming to Find Area 10-1 Areas of Parallelograms and Triangles 10-2 Areas of Trapezoids, Rhombuses, and Kites 10-3 Areas of Regular Polygons 10-4 Perimeters and Areas of Similar Figures 10 Mid-Chapter Quiz 10-5 Trigonometry and Area 10-6 Circles and Arcs Concept Byte: Circle Graphs Concept Byte: Exploring the Area of a Circle 10-7 Areas of Circles and Sectors Concept Byte: Exploring Area and Circumference 10-8 Geometric Probability 10 Pull It All Together 10 Chapter Review 10 Chapter Test 10 Cumulative Test Prep

Get Ready! 11-1 Space Figures and Cross Sections Concept Byte: Perspective Drawing Algebra Review: Literal Equations 11-2 Surface Areas of Prisms and Cylinders 11-3 Surface Areas of Pyramids and Cones 11 Mid-Chapter Quiz 11-4 Volumes of Prisms and Cylinders Concept Byte: Finding Volume 11-5 Volumes of Pyramids and Cones 11-6 Surface Areas and Volumes of Spheres Concept Byte: Exploring Similar Solids 11-7 Areas and Volumes of Similar Solids 11 Pull It All Together 11 Chapter Review 11 Chapter Test 11 Cumulative Test Prep

Get Ready! 12-1 Tangent Lines Concept Byte: Paper Folding With Circles 12-2 Chords and Arcs 12-3 Inscribed Angles 12 Mid-Chapter Quiz Concept Byte: Exploring Chords and Secants 12-4 Angle Measures and Segment Lengths 12-5 Circles in the Coordinate Plane 12-6 Locus: A Set of Points 12 Pull It All Together 12 Chapter Review 12 Chapter Test End-of-Course Assessment

Using a Ruler and Protractor Classifying Triangles Measurement Conversions Measurement, Rounding Error, and Reasonableness The Effect of Measurement Errors on Calculations Squaring Numbers and Finding Square Roots Evaluating and Simplifying Expressions Simplifying Ratios Absolute Value The Coordinate Plane Solving and Writing Linear Equations Percents Probability

Table 1 Measures Table 2 Formulas Table 3 Reading Math Symbols Table 4 Properties of Real Numbers Postulates, Theorems, and Constructions