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Big Ideas Math Geometry Texas
Answers, hints and solutions to all chapter exercises
Chapter 1
Basics of Geometry
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Thinking arrow_forward
- 1. Points, Lines, and Planes p.3-10
- 2. Measuring and Construction Segments p.11-18
- 3. Using Midpoint Formulas p.19-26
- What Did You Learn? p.27-55
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- 4. Perimeter and Area in the Coordinate Plane p.29-36
- 5. Measuring and Constructing Angles p.37-46
- 6. Describing Pairs of Angles p.47-54
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- Chapter Test arrow_forward
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Chapter 2
Reasoning and Proofs
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- Mathematical Thinking arrow_forward
- 1. Conditional Statements p.65-74
- 2. Inductive and Deductive Reasoning p.75-82
- 3. Postulates and Diagrams p.83-88
- What Did You Learn? p.89-115
- Quiz arrow_forward
- 4. Algebraic Reasoning p.91-98
- 5. Proving Statements about Segments and Angles p.99-104
- 6. Proving Geometric Relationships p.105-114
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Chapter 3
Parallel and Perpendicular Lines
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- 1. Pairs of Lines and Angles p.125-130
- 2. Paralell Lines and Traversals p.131-136
- 3. Proofs with Parallel Lines p.137-144
- What Did You Learn? p.145-167
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- 4. Proofs with Perpendicular Lines p.147-154
- 5. Slopes of Lines p.155-160
- 6. Equations of Parallel and Perpendicular Lines p.161-166
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Chapter 4
Transformations
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Thinking arrow_forward
- 1. Translations p.177-184
- 2. Reflections p.185-192
- 3. Rotations p.193-200
- What Did You Learn? p.201-225
- Quiz arrow_forward
- 4. Congruence and Transformations p.203-210
- 5. Dilations p.211-218
- 6. Similarity and Transformations p.219-224
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Chapter 5
Congruent Triangles
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- 1. Angles of Triangles p.235-242
- 2. Congruent Polygons p.243-248
- 3. Proving Triangle Congruence by SAS p.249-254
- 4. Equilateral and Isosceles Triangles p.255-262
- What Did You Learn? p.263-293
- Quiz arrow_forward
- 5. Proving Triangle Congruence by SSS p.265-272
- 6. Proving Triangle Congurence by ASA AAS p.273-280
- 7. Using Congruent Triangles p.281-286
- 8. Coordinate Proofs p.287-292
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Chapter 6
Relationships with Triangles
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Thinking arrow_forward
- 1. Perpendicular and Angle Bisectors p.305-312
- 2. Bisectors of Triangles p.313-322
- 3. Medians and Altitudes of Triangles p.323-330
- What Did You Learn? p.331-353
- Quiz arrow_forward
- 4. The Triangle Midsegment Theorem p.333-338
- 5. Indirect Proof and Inequalities in One Triangle p.339-346
- 6. Inequalities in Two Triangles p.347-352
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Chapter 7
Quadrilaterals and Other Polygons
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Thinking arrow_forward
- 1. Angles of Polygons p.363-370
- 2. Properties of Parallelograms p.371-378
- 3. Proving That a Quadrilateral Is a Parallelogram p.379-388
- What Did You Learn? p.389-411
- Quiz arrow_forward
- 4. Properties of Special Parallelograms p.391-400
- 5. Properties of Trapezoids and Kites p.401-410
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Chapter 8
Similarity
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- Mathematical Thinking arrow_forward
- 1. Similar Polygons p.421-430
- 2. Proving Triangle Similarity by AA p.431-436
- What Did You Learn? p.437-457
- Quiz arrow_forward
- 3. Proving Triangle Similarity by SSS and SAS p.439-448
- 4. Proportionality Theorems p.449-456
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Chapter 9
Right Triangles and Trigonometry
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- 1. The Pythagorean Theorem p.467-474
- 2. Special Right Triangles p.475-480
- 3. Similar Right Triangles p.481-488
- What Did You Learn? p.489-521
- Quiz arrow_forward
- 4. The Tangent Ratio p.491-496
- 5. The Sine and Cosine Ratios p.497-504
- 6. Solving Right Triangles p.505-510
- 7. Law of Sines and Law of Cosines p.511-520
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Chapter 10
Circles
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- 1. Lines and Segments That Intersect Circles p.533-540
- 2. Finding Arc Measures p.541-548
- 3. Using Chords p.549-554
- What Did You Learn? p.555-585
- Quiz arrow_forward
- 4. Inscribed Angles and Polygons p.557-564
- 5. Angle Relationships in Circles p.565-572
- 6. Segment Relationships in Circles p.573-578
- 7. Circles in the Coordinate Plane p.579-584
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Chapter 11
Circumference and Area
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- Mathematical Thinking arrow_forward
- 1. Circumference and Arc Length p.597-604
- 2. Areas of Circles and Sectors p.605-612
- What Did You Learn? p.613-629
- Quiz arrow_forward
- 3. Areas of Polygons and Composite Figures p.615-622
- 4. Effects of Changing Dimensions p.623-628
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Chapter 12
Surface Area and Volume
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Thinking arrow_forward
- 1. Three-Dimensional Figures p.639-644
- 2. Surface Areas of Prisms and Cylinders p.645-652
- 3. Surface Areas of Pyramids and Cones p.653-660
- What Did You Learn? p.661
- Quiz arrow_forward
- 4. Volumes of Pyramids and Cylinders p.663-670
- 5. Volumes of Pyramids and Cones p.671-678
- 6. Surface Areas and Volumes of Spheres p.679-686
- 7. Spherical Geometry p.687-692
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Chapter 13
Probability
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- 1. Sample Spaces and Probability p.705-712
- 2. Independent and Dependent Events p.713-720
- 3. Two-Way Tables and Probability p.721-728
- What Did You Learn? p.751
- Quiz arrow_forward
- 4. Probability of Disjoint and Overlapping Events p.731-736
- 5. Permutations and Combinations p.737-744
- 6. Binomial Distributions p.745-750
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