Geometry: Concepts and Applications, Student Edition
Publication Date: January 11, 2000
ISBN 13: 9780028348179

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New Features
Chapters 114 offer comprehensive coverage of geometric concepts without the rigor of proof. Chapter 15 deals with formal proof.
Reading Geometry; Words, Symbols, and Models and Communicating Mathematics help your students become proficient in reading geometry.
InfoGraphics convey information visually, reducing the student's reading load.
Glencoe's Assessment Advantage includes Preparing for Standardized Tests, created in conjunction with The Princeton Review. Twopage reviews present strategies for solving problems that appear on standardized tests and proficiency tests. Each exercise also ends with at Standardized Test Practice problem.
Geometry: Concepts and Applications, Student Edition
Chapter 1 Reasoning in Geometry
 ProblemSolving Workshop
 11 Patterns and Inductive Reasoning
 Investigation: To Grandmother's House We Go!
 12 Points, Lines, and Planes
 Quiz 1: Lessons 11 and 12
 13 Postulates
 14 Conditional Statements and Their Converses
 Quiz 2: Lessons 13 and 14
 15 Tools of the Trade
 16 A Plan for Problem Solving
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 2 Segment Measure and Coordinate Graphing
 ProblemSolving Workshop
 21 Real Numbers and Number Lines
 22 Segments and the Properties of Real Numbers
 Quiz 1: Lessons 21 and 22
 23 Congruent Segments
 24 The Coordinate Plane
 Quiz 2: Lessons 23 and 24
 Investigation: "V" Is for Vector
 25 Midpoints
 StudyGuide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 3 Angles
 ProblemSolving Workshop
 31 Angles
 32 Angle Measure
 Investigation: Those Magical Midpoints
 33 The Angle Addition Postulate
 34 Adjacent and Linear Pairs of Angles
 Quiz 1: Lessons 31 through 34
 35 Complementary and Supplementary Angles
 36 Congruent Angles
 Quiz 2: Lessons 35 and 36
 37 Perpendicular Lines
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 4 Parallels
 ProblemSolving Workshop
 41 Parallel Lines and Planes
 42 Parallel Lines and Transversals
 Investigation: When Does a Circle Become a Line?
 43 Transversals and Corresponding Angles
 Quiz 1: Lessons 41 through 43
 44 Proving Lines Parallel
 45 Slope
 Quiz 2: Lessons 44 and 45
 46 Equations of Lines
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 5 Triangles and Congruence
 ProblemSolving Workshop
 51 Classifying Triangles
 52 Angles of a Triangle
 53 Geometry in Motion
 Quiz 1: Lessons 51 through 53
 54 Congruent Triangles
 Investigation: Take a Shortcut
 55 SSS and SAS
 Quiz 2: Lessons 54 and 55
 56 ASA and AAS
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 6 More About Triangles
 ProblemSolving Workshop
 61 Medians
 62 Altitudes and Perpendicular Bisectors
 63 Angle Bisectors of Triangles
 Quiz 1: Lessons 61 through 63
 Investigation: What a Circle!
 64 Isosceles Triangles
 65 Right Triangles
 66 The Pythagorean Theorem
 67 Distance on a Coordinate Plane
 Quiz 2: Lessons 64 through 67
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 7 Triangle Inequalities
 ProblemSolving Workshop
 71 Segments, Angles, and Inequalities
 Investigation: Linguine Triangles? Hold the Sauce!
 73 Inequalities Within a Triangle
 Quiz 1: Lessons 71 through 73
 74 Triangle Inequality Theorem
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 8 Quadrilaterals
 ProblemSolving Workshop
 81 Quadrilaterals
 82 Parallelograms
 Quiz 1: Lessons 81 and 82
 83 Tests for Parallelograms
 84 Rectangles, Rhombi, and Squares
 Quiz 2: Lessons 83 and 84
 85 Trapezoids
 Investigation: Go Fly a Kite!
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 9 Proportions and Similarity
 ProblemSolving Workshop
 91 Using Ratios and Proportions
 92 Similar Polygons
 Quiz 1: Lessons 91 and 92
 93 Similar Triangles
 94 Proportional Parts and Triangles
 95 Triangles and Parallel Lines
 Investigation: Are Golden Triangles Expensive?
 96 Proportional Parts and Parallel Lines
 Quiz 2: Lessons 93 through 96
 97 Perimeters and Similarity
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 10 Polygons and Area
 ProblemSolving Workshop
 101 Naming Polygons
 102 Diagonals and Angle Measure
 103 Areas of Polygons
 Quiz 1: Lessons 101 through 103
 104 Areas of Triangles and Trapezoids
 105 Areas of Regular Polygons
 Investigation: How About That Pythagoras!
 106 Symmetry
 Quiz 2: Lessons 104 through 106
 107 Tessellations
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 11 Circles
 ProblemSolving Workshop
 111 Parts of a Circle
 Investigation: A Locus Is Not a Grasshopper!
 112 Arcs and Central Angles
 Quiz 1: Lessons 111 and 112
 113 Arcs and Chords
 114 Inscribed Polygons
 115 Circumference of a Circle
 Quiz 2: Lessons 113 through 115
 116 Area of a Circle
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 12 Surface Area and Volume
 ProblemSolving Workshop
 121 Solid Figures
 Investigation: Take a Slice
 122 Surface Areas of Prisms and Cylinders
 123 Volumes of Prisms and Cylinders
 Quiz 1: Lessons 121 through 123
 127 Similarity of Solid Figures
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 13 Right Triangles and Trigonometry
 ProblemSolving Workshop
 131 Simplifying Square Roots
 132 45°45°90° Triangles
 Quiz 1: Lessons 131 and 132
 133 30°60°90° Triangles
 134 Tangent Ratio
 Quiz 2: Lessons 133 and 134
 Investigation: I Spy
 135 Sine and Cosine Ratios
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 14: Circle Relationships
 ProblemSolving Workshop
 141 Inscribed Angles
 142 Tangents to a Circle
 Investigation: The "Ins" and "Outs" of Polygons
 143 Secant Angles
 Quiz 1: Lessons 141 through 143
 144 SecantTangent Angles
 145 Segment Measures
 Quiz 2: Lessons 144 through 146
 146 Equations of Circles
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 15 Formalizing Proof
 ProblemSolving Workshop
 151 Logic and Truth Tables
 152 Deductive Reasoning
 153 Paragraph Proofs
 Quiz 1: Lessons 151 through 153
 154 Preparing for TwoColumn Proofs
 155 TwoColumn Proofs
 Quiz 2: Lessons 154 and 155
 156 Coordinate Proofs
 Investigation: Don't Touch the Poison Ivy
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 16 More Coordinate Graphing and Transformations
 ProblemSolving Workshop
 161 Solving Systems of Equations by Graphing
 162 Solving Systems of Equations by Using Algebra
 Quiz 1: Lessons 161 and 162
 163 Translations
 164 Reflections
 165 Rotations
 Quiz 2: Lessons 163 through 165
 166 Dilations
 Investigations: A Locus Is Not a Grasshopper!
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
 Student Handbook
 Algebra Review
 Extra Practice
 TI92 Tutorial
 Postulates, Theorems, and Corollaries
 Glossary
 Selected Answers
About the Author
McGrawHill
McGrawHill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide
New Features
Chapters 114 offer comprehensive coverage of geometric concepts without the rigor of proof. Chapter 15 deals with formal proof.
Reading Geometry; Words, Symbols, and Models and Communicating Mathematics help your students become proficient in reading geometry.
InfoGraphics convey information visually, reducing the student's reading load.
Glencoe's Assessment Advantage includes Preparing for Standardized Tests, created in conjunction with The Princeton Review. Twopage reviews present strategies for solving problems that appear on standardized tests and proficiency tests. Each exercise also ends with at Standardized Test Practice problem.
Geometry: Concepts and Applications, Student Edition
Chapter 1 Reasoning in Geometry
 ProblemSolving Workshop
 11 Patterns and Inductive Reasoning
 Investigation: To Grandmother's House We Go!
 12 Points, Lines, and Planes
 Quiz 1: Lessons 11 and 12
 13 Postulates
 14 Conditional Statements and Their Converses
 Quiz 2: Lessons 13 and 14
 15 Tools of the Trade
 16 A Plan for Problem Solving
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 2 Segment Measure and Coordinate Graphing
 ProblemSolving Workshop
 21 Real Numbers and Number Lines
 22 Segments and the Properties of Real Numbers
 Quiz 1: Lessons 21 and 22
 23 Congruent Segments
 24 The Coordinate Plane
 Quiz 2: Lessons 23 and 24
 Investigation: "V" Is for Vector
 25 Midpoints
 StudyGuide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 3 Angles
 ProblemSolving Workshop
 31 Angles
 32 Angle Measure
 Investigation: Those Magical Midpoints
 33 The Angle Addition Postulate
 34 Adjacent and Linear Pairs of Angles
 Quiz 1: Lessons 31 through 34
 35 Complementary and Supplementary Angles
 36 Congruent Angles
 Quiz 2: Lessons 35 and 36
 37 Perpendicular Lines
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 4 Parallels
 ProblemSolving Workshop
 41 Parallel Lines and Planes
 42 Parallel Lines and Transversals
 Investigation: When Does a Circle Become a Line?
 43 Transversals and Corresponding Angles
 Quiz 1: Lessons 41 through 43
 44 Proving Lines Parallel
 45 Slope
 Quiz 2: Lessons 44 and 45
 46 Equations of Lines
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 5 Triangles and Congruence
 ProblemSolving Workshop
 51 Classifying Triangles
 52 Angles of a Triangle
 53 Geometry in Motion
 Quiz 1: Lessons 51 through 53
 54 Congruent Triangles
 Investigation: Take a Shortcut
 55 SSS and SAS
 Quiz 2: Lessons 54 and 55
 56 ASA and AAS
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 6 More About Triangles
 ProblemSolving Workshop
 61 Medians
 62 Altitudes and Perpendicular Bisectors
 63 Angle Bisectors of Triangles
 Quiz 1: Lessons 61 through 63
 Investigation: What a Circle!
 64 Isosceles Triangles
 65 Right Triangles
 66 The Pythagorean Theorem
 67 Distance on a Coordinate Plane
 Quiz 2: Lessons 64 through 67
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 7 Triangle Inequalities
 ProblemSolving Workshop
 71 Segments, Angles, and Inequalities
 Investigation: Linguine Triangles? Hold the Sauce!
 73 Inequalities Within a Triangle
 Quiz 1: Lessons 71 through 73
 74 Triangle Inequality Theorem
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 8 Quadrilaterals
 ProblemSolving Workshop
 81 Quadrilaterals
 82 Parallelograms
 Quiz 1: Lessons 81 and 82
 83 Tests for Parallelograms
 84 Rectangles, Rhombi, and Squares
 Quiz 2: Lessons 83 and 84
 85 Trapezoids
 Investigation: Go Fly a Kite!
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 9 Proportions and Similarity
 ProblemSolving Workshop
 91 Using Ratios and Proportions
 92 Similar Polygons
 Quiz 1: Lessons 91 and 92
 93 Similar Triangles
 94 Proportional Parts and Triangles
 95 Triangles and Parallel Lines
 Investigation: Are Golden Triangles Expensive?
 96 Proportional Parts and Parallel Lines
 Quiz 2: Lessons 93 through 96
 97 Perimeters and Similarity
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 10 Polygons and Area
 ProblemSolving Workshop
 101 Naming Polygons
 102 Diagonals and Angle Measure
 103 Areas of Polygons
 Quiz 1: Lessons 101 through 103
 104 Areas of Triangles and Trapezoids
 105 Areas of Regular Polygons
 Investigation: How About That Pythagoras!
 106 Symmetry
 Quiz 2: Lessons 104 through 106
 107 Tessellations
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 11 Circles
 ProblemSolving Workshop
 111 Parts of a Circle
 Investigation: A Locus Is Not a Grasshopper!
 112 Arcs and Central Angles
 Quiz 1: Lessons 111 and 112
 113 Arcs and Chords
 114 Inscribed Polygons
 115 Circumference of a Circle
 Quiz 2: Lessons 113 through 115
 116 Area of a Circle
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 12 Surface Area and Volume
 ProblemSolving Workshop
 121 Solid Figures
 Investigation: Take a Slice
 122 Surface Areas of Prisms and Cylinders
 123 Volumes of Prisms and Cylinders
 Quiz 1: Lessons 121 through 123
 127 Similarity of Solid Figures
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 13 Right Triangles and Trigonometry
 ProblemSolving Workshop
 131 Simplifying Square Roots
 132 45°45°90° Triangles
 Quiz 1: Lessons 131 and 132
 133 30°60°90° Triangles
 134 Tangent Ratio
 Quiz 2: Lessons 133 and 134
 Investigation: I Spy
 135 Sine and Cosine Ratios
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 14: Circle Relationships
 ProblemSolving Workshop
 141 Inscribed Angles
 142 Tangents to a Circle
 Investigation: The "Ins" and "Outs" of Polygons
 143 Secant Angles
 Quiz 1: Lessons 141 through 143
 144 SecantTangent Angles
 145 Segment Measures
 Quiz 2: Lessons 144 through 146
 146 Equations of Circles
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 15 Formalizing Proof
 ProblemSolving Workshop
 151 Logic and Truth Tables
 152 Deductive Reasoning
 153 Paragraph Proofs
 Quiz 1: Lessons 151 through 153
 154 Preparing for TwoColumn Proofs
 155 TwoColumn Proofs
 Quiz 2: Lessons 154 and 155
 156 Coordinate Proofs
 Investigation: Don't Touch the Poison Ivy
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
Chapter 16 More Coordinate Graphing and Transformations
 ProblemSolving Workshop
 161 Solving Systems of Equations by Graphing
 162 Solving Systems of Equations by Using Algebra
 Quiz 1: Lessons 161 and 162
 163 Translations
 164 Reflections
 165 Rotations
 Quiz 2: Lessons 163 through 165
 166 Dilations
 Investigations: A Locus Is Not a Grasshopper!
 Study Guide and Assessment
 Chapter Test
 Preparing for Standardized Tests
 Student Handbook
 Algebra Review
 Extra Practice
 TI92 Tutorial
 Postulates, Theorems, and Corollaries
 Glossary
 Selected Answers
About the Author
McGrawHill
McGrawHill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide