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Pearson Geometry Common Core, 2013
Answers, hints and solutions to all chapter exercises
Chapter
Entry-Level Assessment
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Chapter 1
Tools of Geometry
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- Get Ready! p.1
- 1. Nets and Drawings for Visualizing Geometry p.5-10
- 2. Points, Lines, and Planes p.12-19
- 3. Measuring Segments p.21-26
- 4. Measuring Angles p.28-33
- 5. Exploring Angle Pairs p.35-40
- Mid-Chapter Quiz p.41
- 6. Concept Byte: Compass Designs p.42
- 6. Basic Constructions p.43-48
- 6. Concept Byte: Exploring Constructions p.49
- 7. Midpoint and Distance in the Coordinate Plane p.51-56
- 7. Concept Byte: Partitioning a Line Segment p.57
- 8. Review p.58
- 8. Perimeter, Circumference, and Area p.64-67
- Concept Byte: Comparing Perimeters and Areas p.68
- Pull It All Together p.69
- Chapter Review p.70-74
- Chapter Test p.75
- Common Core Cumulative Standards Review p.76-78
Chapter 2
Reasoning and Proof
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- Get Ready! p.79
- 1. Patterns and Inductive Reasoning p.82-88
- 2. Conditional Statements p.90-95
- 2. Concept Byte: Logic and Truth Tables p.96-97
- 3. Biconditionals and Definitions p.98-104
- Mid-Chapter Quiz p.105
- 4. Deductive Reasoning p.107-112
- 5. Reasoning in Algebra and Geometry p.114-119
- 6. Proving Angles Congruent p.121-127
- Pull It All Together p.128
- Chapter Review p.129-132
- Chapter Test p.133
- Common Core Cumulative Standards Review p.134-136
Chapter 3
Parallel and Perpendicular Lines
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- Get Ready! p.137
- 1. Lines and Angles p.141-146
- 2. Concept Byte: Parallel Lines and Related Angles p.147
- 2. Properties of Parallel Lines p.149-155
- 3. Proving Lines Parallel p.157-163
- 4. Parallel and Perpendicular Lines p.165-169
- 4. Concept Byte: Perpendicular Lines and Planes p.170
- 5. Parallel Lines and Triangles p.173-178
- 5. Concept Byte: Exploring Spherical Geometry p.179-180
- Mid-Chapter Quiz p.181
- 6. Constructing Parallel and Perpendicular Lines p.182-188
- 7. Equations of Lines in the Coordinate Plane p.190-196
- 8. Slopes of Parallel and Perpendicular Lines p.198-204
- Pull It All Together p.205
- Chapter Review p.206-210
- Chapter Test p.211
- Common Core Cumulative Standards Review p.212-214
Chapter 4
Congruent Triangles
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- Get Ready! p.215
- 1. Congruent Figures p.219-224
- 2. Concept Byte: Building Congruent Triangles p.225
- 2. Triangle Congruence by SSS and SAS p.227-233
- 3. Triangle Congruence by ASA and AAS p.235-241
- Concept Byte: Exploring AAA and SSA p.242
- Mid-Chapter Quiz p.243
- 4. Using Corresponding Parts of Congruent Triangles p.244-248
- 5. Concept Byte: Paper-Folding Conjectures p.249
- 5. Isosceles and Equilateral Triangles p.251-256
- 6. Algebra Review: Systems of Linear Equations p.257
- 6. Congruence in Right Triangles p.260-264
- 7. Congruence in Overlapping Triangles p.265-271
- Pull It All Together p.272
- Chapter Review p.273-276
- Chapter Test p.277
- Common Core Cumulative Standards Review p.278-280
Chapter 5
Relationships Within Triangles
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- Get Ready! p.281
- Concept Byte: Investigating Midsegments p.284
- 1. Midsegments of Triangles p.286-291
- 2. Perpendicular and Angle Bisectors p.293-299
- 3. Concept Byte: Paper Folding Bisectors p.300
- 3. Bisectors in Triangles p.302-307
- 4. Concept Byte: Special Segments in Triangles p.308
- 4. Medians and Altitudes p.310-315
- Mid-Chapter Quiz p.316
- 5. Indirect Proof p.318-322
- 6. Algebra Review: Solving Inequalities p.323
- 6. Inequalities in One Triangle p.325-331
- 7. Inequalities in Two Triangles p.333-339
- Pull It All Together p.340
- Chapter Review p.341-344
- Chapter Test p.345
- Common Core Cumulative Standards Review p.346-348
Chapter 6
Polygons and Quadrilaterals
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- Get Ready! p.349
- 1. Concept Byte: Exterior Angles of Polygons p.352
- 1. The Polygon Angle-Sum Theorems p.353-358
- 2. Properties of Parallelograms p.360-366
- 3. Proving That a Quadrilateral Is a Parallelogram p.368-374
- 4. Properties of Rhombuses, Rectangles, and Squares p.376-382
- 5. Conditions for Rhombuses, Rectangles, and Squares p.384-388
- 6. Trapezoids and Kites p.390-397
- Mid-Chapter Quiz p.398
- Algebra Review: Simplifying Radicals p.399
- 7. Polygons in the Coordinate Plane p.401-405
- 8. Applying Coordinate Geometry p.407-412
- Concept Byte: Quadrilaterals in Quadrilaterals p.413
- 9. Proofs Using Coordinate Geometry p.414-418
- Pull It All Together p.419
- Chapter Review p.420-424
- Chapter Test p.425
- Common Core Cumulative Standards Review p.426-428
Chapter 7
Similarity
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- Get Ready! p.429
- 1. Ratios and Proportions p.432-438
- Algebra Review: Solving Quadratic Equations p.439
- 2. Similar Polygons p.441-447
- Concept Byte: Fractals p.449
- 3. Proving Triangles Similar p.451-458
- Mid-Chapter Quiz p.459
- 4. Similarity in Right Triangles p.461-467
- 4. Concept Byte: The Golden Ratio p.468-469
- 5. Concept Byte: Exploring Proportions in Triangles p.470
- 5. Proportions in Triangles p.472-478
- Pull It All Together p.479
- Chapter Review p.480-482
- Chapter Test p.483
- Common Core Cumulative Standards Review p.484-486
Chapter 8
Right Triangles and Trigonometry
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- Get Ready! p.487
- Concept Byte: The Pythagorean Theorem p.490
- 1. The Pythagorean Theorem and Its Converse p.492-498
- 2. Special Right Triangles p.500-505
- 3. Concept Byte: Exploring Trigonometric Ratios p.506
- 3. Trigonometry p.508-513
- 3. Concept Byte: Complementary Angles and Trigonometric Ratios p.514
- Mid-Chapter Quiz p.515
- 4. Angles of Elevation and Depression p.517-521
- 5. Law of Sines p.523-526
- 6. Law of Cosines p.528-532
- Pull It All Together p.533
- Chapter Review p.534-536
- Chapter Test p.537
- Common Core Cumulative Standards Review p.538-540
Chapter 9
Transformations
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- Get Ready! p.541
- 1. Concept Byte: Tracing Paper Transformations p.544
- 1. Translations p.546-552
- 2. Concept Byte: Paper Folding and Reflections p.553
- 2. Reflections p.555-560
- 3. Rotations p.562-567
- 3. Concept Byte: Symmetry p.568-569
- 4. Compositions of Isometries p.571-576
- Mid-Chapter Quiz p.577
- 5. Congruence Transformations p.578-585
- 6. Concept Byte: Exploring Dilations p.586
- 6. Dilations p.588-593
- 7. Similarity Transformations p.595-600
- Pull It All Together p.601
- Chapter Review p.602-606
- Chapter Test p.607
- Common Core Cumulative Standards Review p.608-610
Chapter 10
Area
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- Get Ready! p.611
- Concept Byte: Transforming to Find Area p.614-615
- 1. Areas of Parallelograms and Triangles p.617-622
- 2. Areas of Trapezoids, Rhombuses, and Kites p.623-628
- 3. Areas of Regular Polygons p.629-634
- 4. Perimeters and Areas of Similar Figures p.636-641
- Mid-Chapter Quiz p.642
- 5. Trigonometry and Area p.643-648
- 6. Circles and Arcs p.650-657
- 6. Concept Byte: Radian Measure p.658
- 7. Concept Byte: Exploring the Area of a Circle p.659
- 7. Areas of Circles and Sectors p.661-666
- 7. Concept Byte: Inscribed and Circumscribed Figures p.667
- 8. Geometric Probability p.669-674
- Pull It All Together p.675
- Chapter Review p.676-680
- Chapter Test p.681
- Common Core Cumulative Standards Review p.682-684
Chapter 11
Surface Area and Volume
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- Get Ready! p.685
- 1. Space Figures and Cross Sections p.688-695
- 1. Concept Byte: Perspective Drawing p.697
- 2. Algebra Review: Literal Equations p.698
- 2. Surface Areas of Prisms and Cylinders p.700-707
- 3. Surface Areas of Pyramids and Cones p.709-715
- Mid-Chapter Quiz p.716
- 4. Volumes of Prisms and Cylinders p.718-724
- 5. Concept Byte: Finding Volume p.725
- 5. Volumes of Pyramids and Cones p.727-732
- 6. Surface Areas and Volumes of Spheres p.734-740
- 7. Concept Byte: Exploring Similar Solids p.741
- 7. Areas and Volumes of Similar Solids p.743-749
- Pull It All Together p.750
- Chapter Review p.751-754
- Chapter Test p.755
- Common Core Cumulative Standards Review p.756-758
Chapter 12
Circles
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- Get Ready! p.759
- 1. Tangent Lines p.763-769
- 2. Concept Byte: Paper Folding With Circles p.770
- 2. Chords and Arcs p.772-779
- 3. Inscribed Angles p.781-787
- Mid-Chapter Quiz p.788
- 4. Concept Byte: Exploring Chords and Secants p.789
- 4. Angle Measures and Segment Lengths p.791-797
- 5. Circles in the Coordinate Plane p.799-803
- 5. Concept Byte: Equation of a Parabola p.804-805
- 6. Locus: A Set of Points p.807-811
- Pull It All Together p.812
- Chapter Review p.813-816
- Chapter Test p.817
- Common Core Cumulative Standards Review p.818-820
Chapter 13
Probability
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- Get Ready! arrow_forward
- 1. Experimental and Theoretical Probability p.825-829
- 2. Probability Distributions and Frequency Tables p.831-835
- 3. Permutations and Combinations p.837-842
- Mid-Chapter Quiz p.843
- 4. Compound Probability p.845-849
- 5. Probability Models p.851-855
- 6. Conditional Probability Formulas p.857-861
- 7. Modeling Randomness p.863-867
- 7. Concept Byte: Probability and Decision Making p.868
- Pull It All Together p.869
- Chapter Review p.870-874
- Chapter Test p.875
Chapter
Common Core End-Of-Course Assessment
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- Multiple Choice p.876-883
- Short Response p.883
- Extended Response p.883
Chapter
Skills Handbook
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- Using a Ruler and Protractor p.884
- Classifying Triangles p.885
- Measurement Conversions p.886
- Measurement, Rounding Error, and Reasonableness p.887
- The Effect of Measurement Errors on Calculations p.888
- Squaring Numbers and Finding Square Roots p.889
- Evaluating and Simplifying Expressions p.890
- Simplifying Ratios p.891
- Absolute Value p.892
- The Coordinate Plane p.893
- Solving and Writing Linear Equations p.894
- Percents p.895
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