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Geometry Common Core Big Ideas
Geometry Common Core Big Ideas
ISBN: /
Chapter 1 Basics of Geometry
Maintaining Mathematical Proficiency
13
1.1 Points, Lines, and Planes
72
1.2 Measuring and Constructing Segments
41
1.3 Using Midpoint and Distance Formulas
48
1.4 Perimeter and Area in the Coordinate Plane
17
1.5 Measuring and Constructing Angles
81
1.6 Describing Pairs of Angles
76
Chapter 2 Reasoning and Proofs
2.0 Mathematical Practice
81
2.1 Conditional Statements
71
2.2 Inductive and Deductive Reasoning
74
2.3 Postulates and Diagrams
100
2.4 Algebraic Reasoning
74
2.5 Proving Statements about Segments and Angles
85
2.6 Proving Geometric Relationships
103
Chapter 3 Parallel and Perpendicular Lines
3.0 Mathematical Practice
14
3.1 Pairs of Lines and Angles
29
3.2 Parallel Lines and Transversals
19
3.3 Proofs with Parallel Lines
20
3.4 Proofs with Perpendicular Lines
71
3.5 Equations of Parallel and Perpendicular Lines
62
Chapter 4 Transformations
4.1 Translations
80
4.2 Reflections
92
4.3 Rotations
76
4.4 Congruence and Transformations
48
4.5 Dilations
56
4.6 Similarity and Transformations
58
Chapter 5 Congruent Triangles
5.1 Angles of Triangles
64
5.2 Congruent Polygons
66
5.3 Proving Triangle Congruence by SAS
57
5.4 Equilateral and Isosceles Triangles
75
5.5 Proving Triangle Congruence by SSS
84
5.6 Proving Triangle Congruence by ASA and AAS
85
5.7 Using Congruent Triangles
65
5.8 Coordinate Proofs
64
Chapter 6 Relationships Within Triangles
6.1 Perpendicular and Angle Bisectors
48
6.2 Bisectors of Triangles
52
6.3 Medians and Altitudes of Triangles
77
6.4 The Triangle Midsegment Theorem
67
6.5 Indirect Proof and Inequalities in One Triangle
59
6.6 Inequalities in Two Triangles
68
Chapter 7 Quadrilaterals an d Other Polygons
7.1 Angles of Polygons
69
7.2 Properties of Parallelograms
64
7.3 Proving That a Quadrilateral is a Parallelogram
79
7.4 Properties of Special Parallelograms
74
7.5 Properties of Trapezoids and Kites
82
Chapter 8 Similarity
8.1 Similar Polygons
81
8.2 Proving Triangle Similarity by AA
72
8.3 Proving Triangle Similarity by SSS and SAS
56
8.4 Proportionality Theorems
73
Chapter 9 Right Triangles and Trigonometry
9.1 The Pythagorean Theorem
95
9.2 Special Right Triangles
75
9.3 Similar Right Triangles
78
9.4 The Tangent Ratio
84
9.5 The Sine and Cosine Ratios
84
9.6 Solving Right Triangles
93
9.7 Law of Sines and Law of Cosines
59
Chapter 10 Circles
10.1 Lines and Segments That Intersect Circles
57
10.2 Finding Arc Measures
93
10.3 Using Chords
79
10.4 Inscribed Angles and Polygons
71
10.5 Angle Relationships in Circles
65
10.6 Segment Relationships in Circles
85
10.7 Circles in the Coordinates Plane
73
Chapter 11 Circumference, Area, and Volume
11.1 Circumference and Arc Length
88
11.2 Areas of Circles and Sectors
82
11.3 Areas of Polygons
78
11.4 Three-Dimensional Figures
73
11.5 Volumes of Prisms and Cylinders
110
11.6 Volumes of Pyramids
69
11.7 Surface Areas and Volumes of Cones
57
11.8 Surface Areas and Volumes of Spheres
75
Chapter 12 Probability
12.1 Sample spaces and Probability
83
12.2 Independent and Dependent Events
69
12.3 Two-Way Tables and Probability
74
12.4 Probability of Disjoint and Overlapping Events
88
12.5 Permutations and Combinations
86
p.700
12.6 Binomial Distributions
90
p.708