HRW - Geometry c2007

Mathematics - Grade 9

CHAPTER | HRW.1. | Chapter 1: Foundations for Geometry | |||||

SECTION | HRW.1.1. | Ch 1 Sec 1: Euclidean and Construction Tools: Understanding Points, Lines, and Planes (pp. 6 - 11)materials correlated to this standard → |
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SECTION | HRW.1.2. | Ch 1 Sec 2: Euclidean and Construction Tools: Measuring and Constructing Segments (pp. 13 - 19)materials correlated to this standard → |
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SECTION | HRW.1.3. | Ch 1 Sec 3: Euclidean and Construction Tools: Measuring and Constructing Angles (pp. 20 - 27)materials correlated to this standard → |
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SECTION | HRW.1.4. | Ch 1 Sec 4: Euclidean and Construction Tools: Pairs of Angles (pp. 28 - 33)materials correlated to this standard → |
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SECTION | HRW.1.5. | Ch 1 Sec 5: Coordinate and Transformation Tools: Using Formulas in Geometry (pp. 36 - 41)materials correlated to this standard → |
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SECTION | HRW.1.6. | Ch 1 Sec 6: Coordinate and Transformation Tools: Midpoint and Distance in the Coordinate Plane (pp. 43 - 49)materials correlated to this standard → |
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SECTION | HRW.1.7. | Ch 1 Sec 7: Coordinate and Transformation Tools: Transformations in the Coordinate Plane (pp. 50 - 55)materials correlated to this standard → |
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CHAPTER | HRW.2. | Chapter 2: Geometric Reasoning | |||||

SECTION | HRW.2.1. | Ch 2 Sec 1: Inductive and Deductive Reasoning: Using Inductive Reasoning to Make Conjectures (pp. 74 - 79)materials correlated to this standard → |
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SECTION | HRW.2.2. | Ch 2 Sec 2: Inductive and Deductive Reasoning: Conditional Statements (pp. 81 - 87)materials correlated to this standard → |
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SECTION | HRW.2.3. | Ch 2 Sec 3: Inductive and Deductive Reasoning: Using Deductive Reasoning to Verify Conjectures (pp. 88 - 93) | |||||

SECTION | HRW.2.4. | Ch 2 Sec 4: Inductive and Deductive Reasoning: Biconditional Statements and Definitions (pp. 96 - 101)materials correlated to this standard → |
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SECTION | HRW.2.5. | Ch 2 Sec 5: Mathematical Proof: Algebraic Proof (pp. 104 - 109) | |||||

SECTION | HRW.2.6. | Ch 2 Sec 6: Mathematical Proof: Geometric Proof (pp. 110 - 116)materials correlated to this standard → |
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SECTION | HRW.2.7. | Ch 2 Sec 7: Mathematical Proof: Flowchart and Paragraph Proofs (pp. 118 - 125)materials correlated to this standard → |
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CHAPTER | HRW.3. | Chapter 3: Parallel and Perpendicular Lines | |||||

SECTION | HRW.3.1. | Ch 3 Sec 1: Lines with Transversals: Lines and Angles (pp. 146 - 151)materials correlated to this standard → |
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SECTION | HRW.3.2. | Ch 3 Sec 2: Lines with Transversals: Angles Formed by Parallel Lines and Transversals (pp. 155 - 161)materials correlated to this standard → |
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SECTION | HRW.3.3. | Ch 3 Sec 3: Lines with Transversals: Proving Lines Parallel (pp. 162 - 169)materials correlated to this standard → |
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SECTION | HRW.3.4. | Ch 3 Sec 4: Lines with Transversals: Perpendicular Lines (pp. 172 - 178)materials correlated to this standard → |
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SECTION | HRW.3.5. | Ch 3 Sec 5: Coordinate Geometry: Slopes of Lines (pp. 182 - 187)materials correlated to this standard → |
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SECTION | HRW.3.6. | Ch 3 Sec 6: Coordinate Geometry: Lines in the Coordinate Plane (pp. 190 - 1997)materials correlated to this standard → |
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CHAPTER | HRW.4. | Chapter 4: Triangle Congruence | |||||

SECTION | HRW.4.1. | Ch 4 Sec 1: Triangles and Congruence: Classifying Triangles (pp. 216 - 221) | |||||

SECTION | HRW.4.2. | Ch 4 Sec 2: Triangles and Congruence: Angle Relationships in Triangles (pp. 223 - 230)materials correlated to this standard → |
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SECTION | HRW.4.3. | Ch 4 Sec 3: Triangles and Congruence: Congruent Triangles (pp. 231 - 237)materials correlated to this standard → |
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SECTION | HRW.4.4. | Ch 4 Sec 4: Proving Triangle Congruence: Triangle Congruence: SSS and SAS (pp. 242 - 249)materials correlated to this standard → |
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SECTION | HRW.4.5. | Ch 4 Sec 5: Proving Triangle Congruence: Triangle Congruence: ASA, AAS, and HL (pp. 252 - 259)materials correlated to this standard → |
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SECTION | HRW.4.6. | Ch 4 Sec 6: Proving Triangle Congruence: Triangle Congruence: CPCTC (pp. 260 - 265)materials correlated to this standard → |
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SECTION | HRW.4.7. | Ch 4 Sec 7: Proving Triangle Congruence: Introduction to Coordinate Proof (pp. 267 - 272)materials correlated to this standard → |
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SECTION | HRW.4.8. | Ch 4 Sec 8: Proving Triangle Congruence: Isosceles and Equilateral Triangles (pp. 273 - 279)materials correlated to this standard → |
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CHAPTER | HRW.5. | Chapter 5: Properties and Attributes of Triangles | |||||

SECTION | HRW.5.1. | Ch 5 Sec 1: Segments in Triangles: Perpendicular and Angle Bisectors (pp. 300 - 306)materials correlated to this standard → |
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SECTION | HRW.5.2. | Ch 5 Sec 2: Segments in Triangles: Bisectors of Triangles (pp. 307 - 313) | |||||

SECTION | HRW.5.3. | Ch 5 Sec 3: Segments in Triangles: Medians and Altitudes of Triangles (pp. 314 - 320) | |||||

SECTION | HRW.5.4. | Ch 5 Sec 4: Segments in Triangles: The Triangle Midsegment Theorem (pp. 322 - 327)materials correlated to this standard → |
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SECTION | HRW.5.5. | Ch 5 Sec 5: Relationships in Triangles: Indirect Proof and Inequalities in One Triangle (pp. 332 - 339)materials correlated to this standard → |
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SECTION | HRW.5.6. | Ch 5 Sec 6: Relationships in Triangles: Inequalities in Two Triangles (pp. 340 - 345)materials correlated to this standard → |
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SECTION | HRW.5.7. | Ch 5 Sec 7: Relationships in Triangles: The Pythagorean Theorem (pp. 348 - 355)materials correlated to this standard → |
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SECTION | HRW.5.8. | Ch 5 Sec 8: Relationships in Triangles: Applying Special Right Triangles (pp. 356 - 362)materials correlated to this standard → |
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CHAPTER | HRW.6. | Chapter 6: Polygons and Quadrilaterals | |||||

SECTION | HRW.6.1. | Ch 6 Sec 1: Polygons and Parallelograms: Properties and Attributes of Polygons (pp. 382 - 388)materials correlated to this standard → |
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SECTION | HRW.6.2. | Ch 6 Sec 2: Polygons and Parallelograms: Properties of Parallelograms (pp. 391 - 397)materials correlated to this standard → |
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SECTION | HRW.6.3. | Ch 6 Sec 3: Polygons and Parallelograms: Conditions for Parallelograms (pp. 398 - 405)materials correlated to this standard → |
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SECTION | HRW.6.4. | Ch 6 Sec 4: Other Special Quadrilaterals: Properties of Special Parallelograms (pp. 408 - 415)materials correlated to this standard → |
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SECTION | HRW.6.5. | Ch 6 Sec 5: Other Special Quadrilaterals: Conditions for Special Parallelograms (pp. 418 - 425)materials correlated to this standard → |
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SECTION | HRW.6.6. | Ch 6 Sec 6: Other Special Quadrilaterals: Properties of Kites and Trapezoids (pp. 427 - 435)materials correlated to this standard → |
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CHAPTER | HRW.7. | Chapter 7: Similarity | |||||

SECTION | HRW.7.1. | Ch 7 Sec 1: Similarity Relationships: Ratio and Proportion (pp. 454 - 459)materials correlated to this standard → |
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SECTION | HRW.7.2. | Ch 7 Sec 2: Similarity Relationships: Ratios in Similar Polygons (pp. 462 - 467)materials correlated to this standard → |
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SECTION | HRW.7.3. | Ch 7 Sec 3: Similarity Relationships: Triangle Similarity: AA, SSS, and SAS (pp. 470 - 477)materials correlated to this standard → |
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SECTION | HRW.7.4. | Ch 7 Sec 4: Applying Similarity: Applying Properties of Similar Triangles (pp. 481 - 487)materials correlated to this standard → |
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SECTION | HRW.7.5. | Ch 7 Sec 5: Applying Similarity: Using Proportional Relationships (pp. 488 - 494)materials correlated to this standard → |
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SECTION | HRW.7.6. | Ch 7 Sec 6: Applying Similarity: Dilations and Similarity in the Coordinate Plane (pp. 495 - 507)materials correlated to this standard → |
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CHAPTER | HRW.8. | Chapter 8: Right Triangles and Trigonometry | |||||

SECTION | HRW.8.1. | Ch 8 Sec 1: Trigonometric Ratios: Similarity in Right Triangles (pp. 518 - 523)materials correlated to this standard → |
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SECTION | HRW.8.2. | Ch 8 Sec 2: Trigonometric Ratios: Trigonometric Ratios (pp. 525 - 532)materials correlated to this standard → |
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SECTION | HRW.8.3. | Ch 8 Sec 3: Trigonometric Ratios: Solving Right Triangles (pp. 534 - 541)materials correlated to this standard → |
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SECTION | HRW.8.4. | Ch 8 Sec 4: Applying Trigonometric Ratios: Angles of Elevation and Depression (pp. 544 - 549)materials correlated to this standard → |
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SECTION | HRW.8.5. | Ch 8 Sec 5: Applying Trigonometric Ratios: Law of Sines and Law of Cosines (pp. 551 - 558)materials correlated to this standard → |
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SECTION | HRW.8.6. | Ch 8 Sec 6: Applying Trigonometric Ratios: Vectors (pp. 559 - 571)materials correlated to this standard → |
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CHAPTER | HRW.9. | Chapter 9: Extending Perimeter, Circumference, and Area | |||||

SECTION | HRW.9.1. | Ch 9 Sec 1: Developing Geometric Formulas: Developing Formulas for Triangles and Quadrilaterals (pp. 589 - 597)materials correlated to this standard → |
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SECTION | HRW.9.2. | Ch 9 Sec 2: Developing Geometric Formulas: Developing Formulas for Circles and Regular Polygons (pp. 600 - 605)materials correlated to this standard → |
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SECTION | HRW.9.3. | Ch 9 Sec 3: Developing Geometric Formulas: Composite Figures (pp. 606 - 612)materials correlated to this standard → |
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SECTION | HRW.9.4. | Ch 9 Sec 4: Applying Geometric Formulas: Perimeter and Area in the Coordinate Plane (pp. 616 - 621)materials correlated to this standard → |
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SECTION | HRW.9.5. | Ch 9 Sec 5: Applying Geometric Formulas: Effects of Changing Dimensions Proportionally (pp. 622 - 627)materials correlated to this standard → |
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SECTION | HRW.9.6. | Ch 9 Sec 6: Applying Geometric Formulas: Geometric Probability (pp. 630 - 636) | |||||

CHAPTER | HRW.10. | Chapter 10: Spatial Reasoning | |||||

SECTION | HRW.10.1. | Ch 10 Sec 1: Three-Dimensional Figures: Solid Geometry (pp. 654 - 660)materials correlated to this standard → |
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SECTION | HRW.10.2. | Ch 10 Sec 2: Three-Dimensional Figures: Representations of Three-Dimensional Figures (pp. 661 - 668) | |||||

SECTION | HRW.10.3. | Ch 10 Sec 3: Three-Dimensional Figures: Formulas in Three Dimensions (pp. 670 - 677) | |||||

SECTION | HRW.10.4. | Ch 10 Sec 4: Surface Area and Volume: Surface Area of Prisms and Cylinders (pp. 680 - 687) | |||||

SECTION | HRW.10.5. | Ch 10 Sec 5: Surface Area and Volume: Surface Area of Pyramids and Cones (pp. 689 - 696) | |||||

SECTION | HRW.10.6. | Ch 10 Sec 6: Surface Area and Volume: Volume of Prisms and Cylinders (pp. 697 - 704)materials correlated to this standard → |
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SECTION | HRW.10.7. | Ch 10 Sec 7: Surface Area and Volume: Volume of Pyramids and Cones (pp. 705 - 712) | |||||

SECTION | HRW.10.8. | Ch 10 Sec 8: Surface Area and Volume: Spheres (pp. 714 - 721) | |||||

CHAPTER | HRW.11. | Chapter 11: Circles | |||||

SECTION | HRW.11.1. | Ch 11 Sec 1: Lines and Arcs in Circles: Lines That Intersect Circles (pp. 746 - 754)materials correlated to this standard → |
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SECTION | HRW.11.2. | Ch 11 Sec 2: Lines and Arcs in Circles: Arcs and Chords (pp. 756 - 763)materials correlated to this standard → |
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SECTION | HRW.11.3. | Ch 11 Sec 3: Lines and Arcs in Circles: Sector Area and Arc Length (pp. 764 - 769)materials correlated to this standard → |
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SECTION | HRW.11.4. | Ch 11 Sec 4: Angles and Segments in Circles: Inscribed Angles (pp. 772 - 779)materials correlated to this standard → |
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SECTION | HRW.11.5. | Ch 11 Sec 5: Angles and Segments in Circles: Angle Relationships in Circles (pp. 782 - 789)materials correlated to this standard → |
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SECTION | HRW.11.6. | Ch 11 Sec 6: Angles and Segments in Circles: Segment Relationships in Circles (pp. 792 - 798)materials correlated to this standard → |
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SECTION | HRW.11.7. | Ch 11 Sec 7: Angles and Segments in Circles: Circles in the Coordinate Plane (pp. 799 - 805)materials correlated to this standard → |
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CHAPTER | HRW.12. | Chapter 12: Extending Transformational Geometry | |||||

SECTION | HRW.12.1. | Ch 12 Sec 1: Congruence Transformations: Reflections (pp. 824 - 30)materials correlated to this standard → |
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SECTION | HRW.12.2. | Ch 12 Sec 2: Congruence Transformations: Translations (pp. 831 - 837)materials correlated to this standard → |
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SECTION | HRW.12.3. | Ch 12 Sec 3: Congruence Transformations: Rotations (pp. 839 - 845)materials correlated to this standard → |
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SECTION | HRW.12.4. | Ch 12 Sec 4: Congruence Transformations: Compositions of Transformations (pp. 848 - 853)materials correlated to this standard → |
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SECTION | HRW.12.5. | Ch 12 Sec 5: Patterns: Symmetry (pp. 856 - 862)materials correlated to this standard → |
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SECTION | HRW.12.6. | Ch 12 Sec 6: Patterns: Tessellations (pp. 863 - 869)materials correlated to this standard → |
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SECTION | HRW.12.7. | Ch 12 Sec 7: Patterns: Dilations (pp. 872 - 879)materials correlated to this standard → |