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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
Nets and Drawings for Visualizing Geometry
p.5-10
Points, Lines, and Planes
p.12-19
Measuring Segments
p.21-26
Measuring Angles
p.28-33
Exploring Angle Pairs
p.35-40
Mid-Chapter Quiz
p.41
Concept Byte: Compass Designs
p.42
Basic Constructions
p.43-48
Concept Byte: Exploring Constructions
p.49
Midpoint and Distance in the Coordinate Plane
p.51-56
Concept Byte: Partitioning a Line Segment
p.57
Review
p.58
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
Patterns and Inductive Reasoning
p.82-88
Conditional Statements
p.90-95
Concept Byte: Logic and Truth Tables
p.96-97
Biconditionals and Definitions
p.98-104
Mid-Chapter Quiz
p.105
Deductive Reasoning
p.107-112
Reasoning in Algebra and Geometry
p.114-119
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
Lines and Angles
p.141-146
Concept Byte: Parallel Lines and Related Angles
p.147
Properties of Parallel Lines
p.149-155
Proving Lines Parallel
p.157-163
Parallel and Perpendicular Lines
p.165-169
Concept Byte: Perpendicular Lines and Planes
p.170
Parallel Lines and Triangles
p.173-178
Concept Byte: Exploring Spherical Geometry
p.179-180
Mid-Chapter Quiz
p.181
Constructing Parallel and Perpendicular Lines
p.182-188
Equations of Lines in the Coordinate Plane
p.190-196
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
Congruent Figures
p.219-224
Concept Byte: Building Congruent Triangles
p.225
Triangle Congruence by SSS and SAS
p.227-233
Triangle Congruence by ASA and AAS
p.235-241
Concept Byte: Exploring AAA and SSA
p.242
Mid-Chapter Quiz
p.243
Using Corresponding Parts of Congruent Triangles
p.244-248
Concept Byte: Paper-Folding Conjectures
p.249
Isosceles and Equilateral Triangles
p.251-256
Algebra Review: Systems of Linear Equations
p.257
Congruence in Right Triangles
p.260-264
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
Midsegments of Triangles
p.286-291
Perpendicular and Angle Bisectors
p.293-299
Concept Byte: Paper Folding Bisectors
p.300
Bisectors in Triangles
p.302-307
Concept Byte: Special Segments in Triangles
p.308
Medians and Altitudes
p.310-315
Mid-Chapter Quiz
p.316
Indirect Proof
p.318-322
Algebra Review: Solving Inequalities
p.323
Inequalities in One Triangle
p.325-331
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
Concept Byte: Exterior Angles of Polygons
p.352
The Polygon Angle-Sum Theorems
p.353-358
Properties of Parallelograms
p.360-366
Proving That a Quadrilateral Is a Parallelogram
p.368-374
Properties of Rhombuses, Rectangles, and Squares
p.376-382
Conditions for Rhombuses, Rectangles, and Squares
p.384-388
Trapezoids and Kites
p.390-397
Mid-Chapter Quiz
p.398
Algebra Review: Simplifying Radicals
p.399
Polygons in the Coordinate Plane
p.401-405
Applying Coordinate Geometry
p.407-412
Concept Byte: Quadrilaterals in Quadrilaterals
p.413
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
Ratios and Proportions
p.432-438
Algebra Review: Solving Quadratic Equations
p.439
Similar Polygons
p.441-447
Concept Byte: Fractals
p.449
Proving Triangles Similar
p.451-458
Mid-Chapter Quiz
p.459
Similarity in Right Triangles
p.461-467
Concept Byte: The Golden Ratio
p.468-469
Concept Byte: Exploring Proportions in Triangles
p.470
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
The Pythagorean Theorem and Its Converse
p.492-498
Special Right Triangles
p.500-505
Concept Byte: Exploring Trigonometric Ratios
p.506
Trigonometry
p.508-513
Concept Byte: Complementary Angles and Trigonometric Ratios
p.514
Mid-Chapter Quiz
p.515
Angles of Elevation and Depression
p.517-521
Law of Sines
p.523-526
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
Concept Byte: Tracing Paper Transformations
p.544
Translations
p.546-552
Concept Byte: Paper Folding and Reflections
p.553
Reflections
p.555-560
Rotations
p.562-567
Concept Byte: Symmetry
p.568-569
Compositions of Isometries
p.571-576
Mid-Chapter Quiz
p.577
Congruence Transformations
p.578-585
Concept Byte: Exploring Dilations
p.586
Dilations
p.588-593
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
Areas of Parallelograms and Triangles
p.617-622
Areas of Trapezoids, Rhombuses, and Kites
p.623-628
Areas of Regular Polygons
p.629-634
Perimeters and Areas of Similar Figures
p.636-641
Mid-Chapter Quiz
p.642
Trigonometry and Area
p.643-648
Circles and Arcs
p.650-657
Concept Byte: Radian Measure
p.658
Concept Byte: Exploring the Area of a Circle
p.659
Areas of Circles and Sectors
p.661-666
Concept Byte: Inscribed and Circumscribed Figures
p.667
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
Space Figures and Cross Sections
p.688-695
Concept Byte: Perspective Drawing
p.697
Algebra Review: Literal Equations
p.698
Surface Areas of Prisms and Cylinders
p.700-707
Surface Areas of Pyramids and Cones
p.709-715
Mid-Chapter Quiz
p.716
Volumes of Prisms and Cylinders
p.718-724
Concept Byte: Finding Volume
p.725
Volumes of Pyramids and Cones
p.727-732
Surface Areas and Volumes of Spheres
p.734-740
Concept Byte: Exploring Similar Solids
p.741
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
Tangent Lines
p.763-769
Concept Byte: Paper Folding With Circles
p.770
Chords and Arcs
p.772-779
Inscribed Angles
p.781-787
Mid-Chapter Quiz
p.788
Concept Byte: Exploring Chords and Secants
p.789
Angle Measures and Segment Lengths
p.791-797
Circles in the Coordinate Plane
p.799-803
Concept Byte: Equation of a Parabola
p.804-805
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!
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Experimental and Theoretical Probability
p.825-829
Probability Distributions and Frequency Tables
p.831-835
Permutations and Combinations
p.837-842
Mid-Chapter Quiz
p.843
Compound Probability
p.845-849
Probability Models
p.851-855
Conditional Probability Formulas
p.857-861
Modeling Randomness
p.863-867
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
info
About this book
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Publisher:
Pearson Education
Author:
Charles, Hall, Kennedy, Bellman, Bragg, Handlin, Murphy, Wiggins
ISBN:
9780133281156
ISBN10:
0133281159
Course:
Geometry