Geometry, Grades 9-11 : Mcdougal Littell Geometry

Points, Lines, Planes, and Angles Some Basic Figures A Game and Some Geometry 1(4) Points, Lines, and Planes 5(6) Definitions and Postulates Segments, Rays, and Distance 11(6) Angles 17(5) Postulates and Theorems Relating Points, Lines, and Planes 22(11) Deductive Reasoning Using Deductive Reasoning If-Then Statements; Converses 33(4) Properties from Algebra 37(6) Proving Theorems 43(7) Theorems about Angles and Perpendicular Lines Special Pairs of Angles 50(6) Perpendicular Lines 56(4) Planning a Proof 60(13) Parallel Lines and Planes When Lines and Planes Are Parallel Definitions 73(5) Properties of Parallel Lines 78(5) Proving Lines Parallel 83(10) Applying Parallel Lines to Polygons Angles of a Triangle 93(8) Angles of a Polygon 101(5) Inductive Reasoning 106(11) Congruent Triangles Corresponding Parts in a Congruence Congruent Figures 117(5) Some Ways to Prove Triangles Congruent 122(5) Using Congruent Triangles 127(7) Some Theorems Based on Congruent Triangles The Isosceles Triangle Theorems 134(6) Other Methods of Proving Triangles Congruent 140(6) More about Proof in Geometry Using More than One Pair of Congruent Triangles 146(6) Medians, Altitudes, and Perpendicular Bisectors 152(15) Quadrilaterals Parallelograms Properties of Parallelograms 167(5) Ways to Prove that Quadrilaterals Are Parallelograms 172(5) Theorems Involving Parallel Lines 177(7) Special Quadrilaterals Special Parallelograms 184(6) Trapezoids 190(13) Inequalities In Geometry Inequalities and Indirect Proof Inequalities 203(5) Inverses and Contrapositives 208(6) Indirect Proof 214(5) Inequalities in Triangles Inequalities for One Triangle 219(9) Inequalities for Two Triangles 228(13) Similar Polygons Ratio, Proportion, and Similarity Ratio and Proportion 241(4) Properties of Proportions 245(3) Similar Polygons 248(6) Working with Similar Triangles A Postulate for Similar Triangles 254(9) Theorems for Similar Triangles 263(6) Proportional Lengths 269(16) Right Triangles Right Triangles Similarity in Right Triangles 285(5) The Pythagorean Theorem 290(5) The Converse of the Pythagorean Theorem 295(5) Special Right Triangles 300(5) Trigonometry The Tangent Ratio 305(7) The Sine and Cosine Ratios 312(5) Applications of Right Triangle Trigonometry 317(12) Circles Tangents, Arcs, and Chords Basic Terms 329(4) Tangents 333(6) Arcs and Central Angles 339(5) Arcs and Chords 344(5) Angles and Segments Inscribed Angles 349(8) Other Angles 357(4) Circles and Lengths of Segments 361(14) Constructions and Loci Basic Constructions What Construction Means 375(5) Perpendiculars and Parallels 380(6) Concurrent Lines 386(6) More Constructions Circles 392(4) Special Segments 396(5) Locus The Meaning of Locus 401(4) Locus Problems 405(5) Locus and Construction 410(13) Areas of Plane Figures Areas of Polygons Areas of Rectangles 423(6) Areas of Parallelograms, Triangles, and Rhombuses 429(6) Areas of Trapezoids 435(5) Areas of Regular Polygons 440(5) Circles, Similar Figures, and Geometric Probability Circumferences and Areas of Circles 445(7) Arc Lengths and Areas of Sectors 452(4) Ratios of Areas 456(5) Geometric Probability 461(14) Areas and Volumes of Solids Important Solids Prisms 475(7) Pyramids 482(8) Cylinders and Cones 490(7) Similar Solids Spheres 497(11) Areas and Volumes of Similar Solids 508(15) Coordinate Geometry Geometry and Algebra The Distance Formula 523(6) Slope of a Line 529(6) Parallel and Perpendicular Lines 535(4) Vectors 539(5) The Midpoint Formula 544(4) Lines and Coordinate Geometry Proofs Graphing Linear Equations 548(5) Writing Linear Equations 553(3) Organizing Coordinate Proofs 556(4) Coordinate Geometry Proofs 560(11) Transformations Some Basic Mappings Mappings and Functions 571(6) Reflections 577(6) Translations and Glide Reflections 583(5) Rotations 588(4) Dilations 592(7) Composition and Symmetry Composites of Mappings 599(6) Inverses and the Identity 605(4) Symmetry in the Plane and in Space 609(17) Examinations 626(14) College Entrance Exams 640(4) Logic 644(11) Flow Proofs 655(2) Handbook for Integrating Coordinate and Transformational Geometry 657(19) Discrete Mathematics 676(8) Fractal Geometry 684(8) Postulates 692(1) Theorems 693(8) Constructions 701(1) Portfolio Projects 702(8) Constructions Using Paper Folding 710(6) Coordinates in Three Dimensions 716(3) Changing the Dimensions of Geometric Figures 719(3) Relationships Among Sine, Cosine, and Tangent 722(4) Glossary 726(7) Index 733