Table of Contents TABLE OF CONTENTS. Section 1: Lessons 1 10, Investigation 1. Section 1 Overview

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1 Section 1: Lessons 1 10, Investigation 1 Section 1 Overview 2A 1 Points, Lines, and Planes 2 2 Segments 7 3 Angles 13 LAB 1 Construction: Congruent Segments and Angles 19 4 Postulates and Theorems About Points, Lines, and Planes 21 5 More Theorems About Lines and Planes 27 LAB 2 Construction: Perpendicular Line Through a Point on a Line 33 6 Identifying Pairs of Angles 34 LAB 3 Construction: Perpendicular Bisectors and Angle Bisectors 40 7 Using Inductive Reasoning 42 8 Using Formulas in Geometry 47 9 Finding Length: Distance Formula Using Conditional Statements 58 Cumulative Assessment Cumulative Test 1, Performance Task 1 INV 1 Investigation: Transversals and Angle Relationships 63 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Polygons Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations T17

2 Section 2: Lessons 11 20, Investigation 2 Section 2 Overview 66A 11 Finding Midpoints Proving Lines Parallel 71 LAB 4 Construction: Parallel Line Through a Point Introduction to Triangles Disproving Conjectures with Counterexamples Introduction to Polygons 89 Cumulative Assessment Cumulative Test 2, Performance Task 2 16 Finding Slopes and Equations of Lines More Conditional Statements Triangle Theorems Exploration: Developing the Triangle Angle Sum Theorem Introduction to Quadrilaterals Interpreting Truth Tables 121 Cumulative Assessment Cumulative Test 3, Performance Task 3 INV 2 Investigation: Proving the Pythagorean Theorem 127 T18 Saxon Geometry

3 Section 3: Lessons 21 30, Investigation 3 Section 3 Overview 130A 21 Laws of Detachment and Syllogism Finding Areas of Quadrilaterals Introduction to Circles Algebraic Proofs Triangle Congruence: SSS Exploration: Exploring the SSS Postulate 157 Cumulative Assessment Cumulative Test 4, Performance Task 4 26 Central Angles and Arc Measure Two-Column Proofs Triangle Congruence: SAS 175 LAB 5 Construction: Congruent Triangles Using the Pythagorean Theorem Triangle Congruence: ASA and AAS 188 Cumulative Assessment Cumulative Test 5, Performance Task 5 INV 3 Investigation: Exploring Angles of Polygons 194 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations Polygons T19

4 Section 4: Lessons 31 40, Investigation 4 Section 4 Overview 198A 31 Flowchart and Paragraph Proofs Altitudes and Medians of Triangles Converse of the Pythagorean Theorem Properties of Parallelograms Exploration: Exploring Diagonals of Parallelograms Finding Arc Lengths and Areas of Sectors 224 Cumulative Assessment Cumulative Test 6, Performance Task 6 36 Right Triangle Congruence Theorems Writing Equations of Parallel and Perpendicular Lines Perpendicular and Angle Bisectors of Triangles 244 LAB 6 Construction: Circle Through Three Noncollinear Points Inequalities in a Triangle Finding Perimeters and Areas of Composite Figures 257 Cumulative Assessment Cumulative Test 7, Performance Task 7 INV 4 Investigation: Inequalities in Two Triangles 263 T20 Saxon Geometry

5 Section 5: Lessons 41 50, Investigation 5 Section 5 Overview 266A 41 Ratios, Proportions, and Similarity Finding Distance from a Point to a Line 273 LAB 7 Construction: Perpendicular Through a Point Not on a Line Chords, Secants, and Tangents Applying Similarity Introduction to Coordinate Proofs 295 Cumulative Assessment Cumulative Test 8, Performance Task 8 46 Triangle Similarity: AA, SSS, SAS Exploration: Understanding AA Similarity Circles and Inscribed Angles Indirect Proofs Introduction to Solids Geometric Mean 327 Cumulative Assessment Cumulative Test 9, Performance Task 9 INV 5 Investigation: Nets 334 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations Polygons T21

6 Section 6: Lessons 51 60, Investigation 6 Section 6 Overview 336A 51 Properties of Isosceles and Equilateral Triangles Properties of Rectangles, Rhombuses, and Squares Exploration: Using Construction Techniques to Draw a Rhombus Right Triangles Representing Solids Triangle Midsegment Theorem 361 Cumulative Assessment Cumulative Test 10, Performance Task Right Triangles Finding Perimeter and Area with Coordinates Tangents and Circles, Part LAB 8 Construction: Tangent to a Circle Finding Surface Areas and Volumes of Prisms Proportionality Theorems 396 Cumulative Assessment Cumulative Test 11, Performance Task 11 INV 6 Investigation: Geometric Probability 403 T22 Saxon Geometry

7 Section 7: Lessons 61 70, Investigation 7 Section 7 Overview 406A 61 Determining If a Quadrilateral is a Parallelogram Finding Surface Areas and Volumes of Cylinders Exploration: Analyzing the Net of a Cylinder Introduction to Vectors Angles Interior to Circles Distinguishing Types of Parallelograms 430 Cumulative Assessment Cumulative Test 12, Performance Task Finding Perimeters and Areas of Regular Polygons 436 LAB 9 Construction: Regular Polygons Introduction to Transformations Introduction to Trigonometric Ratios Properties of Trapezoids and Kites Finding Surface Areas and Volumes of Pyramids 464 Cumulative Assessment Cumulative Test 13, Performance Task 13 INV 7 Investigation: Trigonometric Ratios 470 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations Polygons T23

8 Section 8: Lessons 71 80, Investigation 8 Section 8 Overview 472A 71 Translations Tangents and Circles, Part Applying Trigonometry: Angles of Elevation and Depression Exploration: Making and Using a Hypsometer Reflections Writing the Equation of a Circle 495 Cumulative Assessment Cumulative Test 14, Performance Task Symmetry Finding Surface Areas and Volumes of Cones Rotations 511 LAB 10 Technology: Transformations Using Geometry Software Angles Exterior to Circles Finding Surface Areas and Volumes of Spheres 524 Cumulative Assessment Cumulative Test 15, Performance Task 15 INV 8 Investigation: Patterns 529 T24 Saxon Geometry

9 Section 9: Lessons 81 90, Investigation 9 Section 9 Overview 532A 81 Graphing and Solving Linear Systems More Applications of Trigonometry Vector Addition Dilations Cross Sections of Solids 553 Cumulative Assessment Cumulative Test 16, Performance Task Determining Chord Length 560 LAB 11 Technology: Intersecting Chords Using Geometry Software Area Ratios of Similar Figures Graphing and Solving Linear Inequalities Vector Decomposition Composite Transformations Exploration: Performing Composite Transformations 585 Cumulative Assessment Cumulative Test 17, Performance Task 17 INV 9 Investigation: Tessellations 592 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations Polygons T25

10 Section 10: Lessons , Investigation 10 Section 10 Overview 594A 91 Introduction to Trigonometric Identities Quadrilaterals on the Coordinate Plane 600 LAB 12 Technology: Distinguishing Types of Quadrilaterals Using Geometry Software Representing Solids: Orthographic Views Exploration: Drawing Orthographic Views of Objects Law of Sines Equations of Circles: Translating and Dilating 618 Cumulative Assessment Cumulative Test 18, Performance Task Effects of Changing Dimensions on Perimeter and Area Concentric Circles Law of Cosines Volume Ratios of Similar Solids Transformation Matrices 648 Cumulative Assessment Cumulative Test 19, Performance Task 19 INV 10 Investigation: Fractals 653 T26 Saxon Geometry

11 Section 11: Lessons , Investigation 11 Section 11 Overview 656A 101 Determining Lengths of Segments Intersecting Circles 656 LAB 13 Technology: Exploring Secant Segments Using Geometry Software Dilations in the Coordinate Plane Frustums of Cones and Pyramids Relating Arc Lengths and Chords Rotations and Reflections in the Coordinate Plane 680 Cumulative Assessment Cumulative Test 20, Performance Task Circumscribed and Inscribed Figures Maximizing Area 691 LAB 14 Technology: Maximizing Area Using Geometry Software Introduction to Coordinate Space Non-Euclidean Geometry Exploration: Exploring Triangle Angles in Spherical Geometry Scale Drawings and Maps 709 Cumulative Assessment Cumulative Test 21, Performance Task 21 INV 11 Investigation: Golden Ratio 714 DISTRIBUTED STRANDS Geometry Foundations Logic and Reasoning Construction Coordinate Geometry Triangles: Congruence and Similarity Quadrilaterals Right Triangles and Trigonometry Circles Solids Transformations Polygons T27

12 Section 12: Lessons , Investigation 12 Section 12 Overview 716A 111 Finding Distance and Midpoint in Three Dimensions Finding Areas of Circle Segments Symmetry of Solids and Polyhedra Solving and Graphing Systems of Inequalities Finding Surface Areas and Volumes of Composite Solids 736 Cumulative Assessment Cumulative Test 22, Performance Task Secant, Cosecant, and Cotangent Determining Line of Best Fit 747 LAB 15 Technology: Determining Line of Best Fit Using a Graphing Calculator Finding Areas of Polygons Using Matrices Platonic Solids Topology Exploration: Observing Properties of Mobius Strips 767 Cumulative Assessment Cumulative Test 23, Performance Task 23 INV 12 Investigation: Polar Coordinates 773 T28 Saxon Geometry

13 Skills Bank T776 Properties and Formulas T800 1 Order of Operations and Absolute Value Properties of Arithmetic Classifying Real Numbers Ratios, Proportions, and Percents Estimation Exponents and Roots Scientific Notation and Significant Figures Units of Measure Converting Units and Rates Calculating Percent Error Measures of Central Tendency Probability The Coordinate Plane Evaluating Expressions Solving Linear Equations and Inequalities Transforming Formulas Functions Binomial Products and Factoring Lines in Point-Slope and Standard Forms Quadratic Equations and Functions Displaying Data Problem-Solving Process and Strategies 798 Properties 800 Formulas 802 Symbols 804 Metric Measures 804 Customary Measures 805 Postulates and Theorems T806 Postulates 806 Theorems 807 Glossary Additional Answers Index T813 T828 T895 T29