Big Ideas Math Geometry A Bridge to Success
Answers, hints and solutions to all chapter exercises
Chapter 1
Basics of Geometry
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Points, Lines, and Planes p.3-10
- 2. Measuring and Constructing Segments p.11-18
- 3. Using Midpoint and Distance Formulas p.19-26
- What Did You Learn? p.27
- Quiz arrow_forward
- 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
- Performance Task p.55
- Chapter Review p.56-58
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 2
Reasoning and Proofs
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices 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
- 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
- Performance Task p.115
- Chapter Review p.116-118
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 3
Parallel and Perpendicular Lines
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices p.124
- 1. Pairs of Lines and Angles p.125-130
- 2. Parallel Lines and Transversals p.131-136
- 3. Proofs with Parallel Lines p.137-144
- What Did You Learn? p.145
- Quiz arrow_forward
- 4. Proofs with Perpendicular Lines p.147-154
- 5. Equations of Parallel and Perpendicular Lines p.155-162
- Performance Task p.163
- Chapter Review p.164-166
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 4
Transformations
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Translations p.173-180
- 2. Reflections p.181-188
- 3. Rotations p.189-196
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. Congruence and Transformations p.199-206
- 5. Dilations p.207-214
- 6. Similarity and Transformations p.215-220
- Performance Task arrow_forward
- Chapter Review p.222-224
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 2
Transformations
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- 3. Rotations p.192
Chapter 5
Congruent Triangles
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Angles of Triangles p.231-238
- 2. Congruent Polygons p.239-244
- 3. Proving Triangle Congruence by SAS p.245-250
- 4. Equilateral and Isosceles Triangles p.251-258
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 5. Proving Triangle Congruence by SSS p.261-268
- 6. Proving Triangle Congruence by ASA and AAS p.269-276
- 7. Using Congruent Triangles p.277-282
- 8. Coordinate Proofs p.283-288
- Performance Task arrow_forward
- Chapter Review p.290-294
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 6
Relationships within Triangles
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Perpendicular and Angle Bisectors p.301-308
- 2. Bisectors of Triangles p.309-318
- 3. Medians and Altitudes of Triangles p.319-326
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. The Triangle Midsegment Theorem p.329-334
- 5. Indirect Proof and Inequalities in One Triangle p.335-342
- 6. Inequalities in Two Triangles p.343-348
- Performance Task arrow_forward
- Chapter Review p.350-352
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 7
Quadrilaterals and Other Polygons
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Angles of Polygons p.359-366
- 2. Properties of Parallelograms p.367-374
- 3. Proving that a Quadrilateral is a Parallelogram p.375-384
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. Properties of Special Parallelograms p.387-396
- 5. Properties of Trapezoids and Kites p.397-406
- Performance Task arrow_forward
- Chapter Review p.408-410
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 8
Similarity
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Similar Polygons p.417-426
- 2. Proving Triangle Similarity by AA p.427-432
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 3. Proving Triangle Similarity by SSS and SAS p.435-444
- 4. Proportionality Theorems p.445-452
- Performance Task arrow_forward
- Chapter Review p.454-456
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 9
Right Triangles and Trigonometry
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. The Pythagorean Theorem p.463-470
- 2. Special Right Triangles p.471-476
- 3. Similar Right Triangles p.477-484
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. The Tangent Ratio p.487-492
- 5. The Sine and Cosine Ratios p.493-500
- 6. Solving Right Triangles p.501-506
- 7. Law of Sines and Law of Cosines p.507-516
- Performance Task arrow_forward
- Chapter Review p.518-522
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 10
Circles
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Lines and Segments that Intersect Circles p.529-536
- 2. Finding Arc Measures p.537-544
- 3. Using Chords p.545-550
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. Inscribed Angles and Polygons p.553-560
- 5. Angle Relationships in Circles p.561-568
- 6. Segment Relationships in Circles p.569-574
- 7. Circles in the Coordinate Plane p.575-580
- Performance Task arrow_forward
- Chapter Review p.582-586
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 11
Circumference, Area, and Volume
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Circumference and Arc Length p.593-600
- 2. Areas of Circles and Sectors p.601-608
- 3. Areas of Polygons p.609-616
- 4. Three-Dimensional Figures p.617-622
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 5. Volumes of Prisms and Cylinders p.625-634
- 6. Volumes of Pyramids p.635-640
- 7. Surface Areas and Volumes of Cones p.641-646
- 8. Surface Areas and Volumes of Spheres p.647-654
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- Chapter Review arrow_forward
- Chapter Test arrow_forward
- Cumulative Assessment arrow_forward
Chapter 12
Probability
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- Maintaining Mathematical Proficiency arrow_forward
- Mathematical Practices arrow_forward
- 1. Sample Spaces and Probability p.667-674
- 2. Independent and Dependent Events p.675-682
- 3. Two-Way Tables and Probability p.683-690
- What Did You Learn? arrow_forward
- Quiz arrow_forward
- 4. Probability of Disjoint and Overlapping Events p.693-698
- 5. Permutations and Combinations p.699-706
- 6. Binomial Distributions p.707-712
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