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Big Ideas Math Geometry, 2014
Chapter 1
Basics of Geometry
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Maintaining Mathematical Proficiency
p.1
Mathematical Practices
p.2
Points, Lines, and Planes
p.3-10
Measuring and Constructing Segments
p.11-18
Using Midpoint and Distance Formulas
p.19-26
What Did You Learn?
p.27-55
Quiz
p.28
Perimeter and Area in the Coordinate Plane
p.29-36
Measuring and Constructing Angles
p.37-46
Describing Pairs of Angles
p.47-54
Chapter Review
p.56-58
Chapter Test
p.59
Cumulative Assessment
p.60-61
Chapter 2
Reasoning and Proofs
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Maintaining Mathematical Proficiency
p.63
Mathematical Practices
p.64
Conditional Statements
p.65-74
Inductive and Deductive Reasoning
p.75-82
Postulates and Diagrams
p.83-88
What Did You Learn?
p.89-115
Quiz
p.90
Algebraic Reasoning
p.91-98
Proving Statements about Segments and Angles
p.99-104
Proving Geometric Relationships
p.105-114
Chapter Review
p.116-118
Chapter Test
p.119
Cumulative Assessment
p.120-121
Chapter 3
Parallel and Perpendicular Lines
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Maintaining Mathematical Proficiency
p.123
Mathematical Practices
p.124
Pairs of Lines and Angles
p.125-130
Parallel Lines and Transversals
p.131-136
Proofs with Parallel Lines
p.137-144
What Did You Learn?
p.145-163
Quiz
p.146
Proofs with Perpendicular Lines
p.147-154
Equations of Parallel and Perpendicular Lines
p.155-162
Chapter Review
p.164-166
Chapter Test
p.167
Cumulative Assessment
p.168-169
Chapter 4
Transformations
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Maintaining Mathematical Proficiency
p.171
Mathematical Practices
p.172
Translations
p.173-180
Reflections
p.181-188
Rotations
p.189-196
What Did You Learn?
p.197-221
Quiz
p.198
Congruence and Transformations
p.199-206
Dilations
p.207-214
Similarity and Transformations
p.215-220
Chapter Review
p.222-224
Chapter Test
p.225
Cumulative Assessment
p.226-227
Chapter 5
Congruent Triangles
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Maintaining Mathematical Proficiency
p.229
Mathematical Practices
p.230
Angles of Triangles
p.231-238
Congruent Polygons
p.239-244
Proving Triangle Congruence by SAS
p.245-250
Equilateral and Isosceles Triangles
p.251-258
What Did You Learn?
p.259-289
Quiz
p.260
Proving Triangle Congruence by SSS
p.261-268
Proving Triangle Congruence by ASA and AAS
p.269-276
Using Congruent Triangles
p.277-282
Coordinate Proofs
p.283-288
Chapter Review
p.290-294
Chapter Test
p.295
Cumulative Assessment
p.296-297
Chapter 6
Relationships Within Triangles
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Maintaining Mathematical Proficiency
p.299
Mathematical Practices
p.300
Perpendicular and Angle Bisectors
p.301-308
Bisectors of Triangles
p.309-318
Medians and Altitudes of Triangles
p.319-326
What Did You Learn?
p.327-349
Quiz
p.328
The Triangle Midsegment Theorem
p.329-334
Indirect Proof and Inequalities in One Triangle
p.335-342
Inequalities in Two Triangles
p.343-348
Chapter Review
p.350-352
Chapter Test
p.353
Cumulative Assessment
p.354-355
Chapter 7
Quadrilaterals and Other Polygons
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Maintaining Mathematical Proficiency
p.357
Mathematical Practices
p.358
Angles of Polygons
p.359-366
Properties of Parallelograms
p.367-374
Proving That a Quadrilateral Is a Parallelogram
p.375-384
What Did You Learn?
p.385-407
Quiz
p.386
Properties of Special Parallelograms
p.387-396
Properties of Trapezoids and Kites
p.397-406
Chapter Review
p.408-410
Chapter Test
p.411
Cumulative Assessment
p.412-413
Chapter 8
Similarity
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Maintaining Mathematical Proficiency
p.415
Mathematical Practices
p.416
Similar Polygons
p.417-426
Proving Triangle Similarity by AA
p.427-432
What Did You Learn?
p.433-453
Quiz
p.434
Proving Triangle Similarity by SSS and SAS
p.435-444
Proportionality Theorems
p.445-452
Chapter Review
p.454-456
Chapter Test
p.457
Cumulative Assessment
p.458-459
Chapter 9
Right Triangles and Trigonometry
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Maintaining Mathematical Proficiency
p.461
Mathematical Practices
arrow_forward
The Pythagorean Theorem
p.463-470
Special Right Triangles
p.471-476
Similar Right Triangles
p.477-484
What Did You Learn?
p.485-517
Quiz
p.486
The Tangent Ratio
p.487-492
The Sine and Cosine Ratios
p.493-500
Solving Right Triangles
p.501-506
Law of Sines and Law of Cosines
p.507-516
Chapter Review
p.518-522
Chapter Test
p.523
Cumulative Assessment
p.524-525
Chapter 10
Circles
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Maintaining Mathematical Proficiency
p.527
Mathematical Practices
p.528
Lines and Segments That Intersect Circles
p.529-536
Finding Arc Measures
p.537-544
Using Chords
p.545-550
What Did You Learn?
p.551-581
Quiz
p.552
Inscribed Angles and Polygons
p.553-560
Angle Relationships in Circles
p.561-652
Segment Relationships in Circles
p.569-574
Circles in the Coordinate Plane
p.575-580
Chapter Review
p.582-586
Chapter Test
p.587
Cumulative Assessment
p.588-589
Chapter 11
Circumference, Area, and Volume
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Maintaining Mathematical Proficiency
p.591
Mathematical Practices
p.592
Circumference and Arc Length
p.593-600
Areas of Circles and Sectors
p.601-608
Areas of Polygons
p.609-616
Three-Dimensional Figures
p.617-622
What Did You Learn?
p.623-655
Quiz
p.624
Volumes of Prisms and Cylinders
p.625-634
Volumes of Pyramids
p.635-640
Surface Areas and Volumes of Cones
p.641-646
Surface Areas and Volumes of Spheres
p.647-654
Chapter Review
p.656-660
Chapter Test
p.661
Cumulative Assessment
p.662-663
Chapter 12
Probability
expand_more
Maintaining Mathematical Proficiency
p.665
Monitoring Progress
p.666
Sample Spaces and Probability
p.667-674
Independent and Dependent Events
p.675-682
Two-Way Tables and Probability
p.683-690
What Did You Learn?
p.691-713
Quiz
p.692
Probability of Disjoint and Overlapping Events
p.693-698
Permutations and Combinations
p.699-706
Binomial Distribution
p.707-712
Chapter Review
p.714-716
Chapter Test
p.717
Cumulative Assessment
p.718-719
Chapter
Additional Topic
expand_more
Focus of a Parabola
p.721-728