Chapter 1

Lessons 1-10, Investigation 1

1 Points, Lines, and Planes Practice p.5
2 Segments Practice p.10
3 Angles Practice p.17
4 Postulates and Theorems About Lines and Planes Practice p.24
5 More Theorems About Lines and Planes Practice p.31
6 Identifying Pairs of Angles Practice p.38
7 Using Inductive Reasoning Practice p.44
8 Using Formulas in Geometry Practice p.50
9 Finding Length: Distance Formula Practice p.56
10 Using Conditional Statements Practice p.61
INV 1 Transversals and Angle Relationships Investigation p.63

Chapter 2

Lessons 11-20, Investigation 2

11 Finding Midpoints Practice p.69
12 Proving Lines Parallel Practice p.74
13 Introduction to Triangles Practice p.82
14 Disproving Conjectures with Counterexamples Practice p.87
15 Introduction to Polygons Practice p.93
16 Finding Slopes and Equations of Lines Practice p.100
17 More Conditional Statements Practice p.106
18 Triangle Theorems Practice p.112
19 Introduction to Quadrilaterals Practice p.118
20 Interpreting Truth Tables Practice p.124
INV 12 Polar Coordinates Investigation p.127

Chapter 3

Lessons 21-30, Investigation 3

21 Laws of Detachment and Syllogism Practice p.133
22 Finding Areas of Quadrilaterals Practice p.141
23 Introduction to Circles Practice p.148
24 Algebraic Proofs Practice p.154
25 Triangle Concurrance: SSS Practice p.160
26 Central Angles and Arc Measure Practice p.166
27 Two-Column Proofs Practice p.172
28 Triangle Concurrance: SAS Practice p.177
29 Using the Pythagorean Theorem Practice p.184
30 Triangle Congruence: ASA and AAS Practice p.191
INV 3 Exploring Angles of Polygons Investigation p.194

Chapter 4

Lessons 31-40, Investigation 4

31 Flowchart and Paragraph Proofs Practice p.201
32 Altitudes and Medians of Triangles Practice p.207
33 Converse of the Pythagorean Theorem Practice p.215
34 Properties of Parallelograms Practice p.221
35 Finding Arc Lengths and Areas of Sectors Practice p.227
36 Right Triangle Congruence Theorems Practice p.234
37 Writing Equations of Parallel and Perpendicular Lines Practice p.241
38 Perpendicular and Angle Bisectors of Triangles Practice p.247
39 Inequalities in a Triangle Practice p.254
40 Finding Perimeters and Areas of Composite Figures Practice p.260
INV 4 Inequalities in Two Triangles Investigation p.263

Chapter 5

Lessons 41-50, Investigation 5

41 Ratios, Proportions, and Similarity Practice p.270
42 Finding Distance from a Point to a Line Practice p.277
43 Chords, Secants, and Tangents Practice p.285
44 Applying Similarity Practice p.292
45 Introduction to Coordinate Proofs Practice p.299
46 Triangle Similarity: AA, SSS, SAS 305 p.305
47 Circles and Inscribed Angles Practice p.312
48 Indirect Proofs Practice p.317
49 Introduction to Solids Practice p.323
50 Geometric Mean Practice p.331
INV 5 Nets Investigation p.334

Chapter 6

Lessons 51-60, Investigation 6

51 Properties of Isosceles and Equilateral Triangles Practice p.340
52 Properties of Rectangles, Rhombuses, and Squares Practice p.346
53 45 Degree - 45 Degree - 90 Degree Right Triangles Practice p.353
54 Representing Solids Practice p.358
55 Triangle Midsegment Theorem Practice p.365
56 30 Degree - 60 Degree - 90 Degree Right Triangles Practice p.371
57 Finding Perimeter and Area with Coordinates Practice p.378
58 Tangents and Circles, Part 1 Practice p.384
59 Finding Surface Areas and Volumes of Prisms Practice p.393
60 Proportionality Theorems Practice p.400
INV 6 Geometric Probability Investigation p.403

Chapter 7

Lessons 61-70

61 Determining If a Quadrilateral is a Parallelogram Practice p.409
62 Finding Surface Areas and Volumes of Cylinders Practice p.415
63 Introduction to Vectors Practice p.421
64 Angles Interior to Circles Practice p.427
65 Distinguishing Types of Parallelograms Practice p.433
66 Finding Perimeters and Areas of Regular Polygons Practice p.440
67 Introduction to Transformations Practice p.449
68 Introduction to Trigonometric Ratios Practice p.454
69 Properties of Trapezoids and Kites Practice p.461
70 Finding Surface Areas and Volumes of Pyramids Practice p.467
Investigation p.470

Chapter 8

Lessons 71-80, Investigation 8

71 Translations Practice p.474
72 Tangents and Circles, Part 2 Practice p.479
73 Applying Trigonometry: Angles of Elevation and Depression Practice p.487
74 Reflections Practice p.492
75 Writing the Equation of a Circle Practice p.497
76 Symmetry Practice p.502
77 Finding Surface Areas and Volumes of Cones Practice p.509
78 Rotations Practice p.513
79 Angles Exterior to Circles Practice p.520
80 Finding Surface Areas and Volumes of Spheres Practice p.527
INV 8 Patterns Investigation p.529

Chapter 9

Lessons 81-90, Investigation 9

81 Graphing and Solving Linear Systems Practice p.535
82 More Applications of Trigonometry Practice p.540
83 Vector Addition Practice p.545
84 Dilations Practice p.550
85 Cross Sections of Solids Practice p.556
86 Determining Chord Length Practice p.562
87 Area Ratios of Similar Figures Practice p.570
88 Graphing and Solving Linear Inequalities Practice p.576
89 Vector Decomposition Practice p.582
90 Composite Transformations Practice p.589
INV 9 Tessellations Investigation p.592

Chapter 10

Lessons 91-100, Investigation 10

91 Introduction to Trigonometric Identities Practice p.597
92 Quadrilaterals on the Coordinate Plane Practice p.603
93 Representing Solids: Orthographic Views Practice p.610
94 Law of Sines Practice p.615
95 Equations of Circles: Translating and Dilating Practice p.621
96 Effects of Changing Dimensions on Perimeter and Area Practice p.627
97 Concentric Circles Practice p.633
98 Law of Cosines Practice p.639
99 Volume Ratios of Similar Solids Practice p.645
100 Transformation Matrices Practice p.650
INV 10 Fractals Investigation p.653

Chapter 11

Lessons 101-110, Investigation 11

101 Determining Lengths of Segments Intersecting Circles Practice p.659
102 Dilations in the Coordinate Plane Practice p.665
103 Frustums of Cones and Pyramids Practice p.671
104 Relating Arc Lengths and Chords Practice p.677
105 Rotations and Reflections in the Coordinate Plane Practice p.683
106 Circumscribed and the Inscribed Figures Practice p.688
107 Maximizing Area Practice p.693
108 Introduction to Coordinate Space Practice p.701
109 Non-Euclidean Geometry Practice p.706
110 Scale Drawings and Maps Practice p.711
INV 11 Golden Ratio Investigation p.714

Chapter 12

Lessons 110-120, Investigation 12

111 Finding Distance and Midpoint in Three Dimensions Practice p.718
112 Finding Areas of Circle Segments Practice p.723
113 Symmetry of Solids and Polyhedra Practice p.728
114 Solving and Graphing Systems of Inequalities Practice p.733
115 Finding Surface Areas and Volumes of Composite Solids Practice p.739
116 Secant, Cosecant, and Cotangent Practice p.744
117 Determining Line of Best Fit Practice p.750
118 Finding Areas of Polygons Using Matrices Practice p.758
119 Platonic Solids Practice p.764
120 Topology Practice p.769
INV 12 Polar Coordinates Investigation p.773
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Saxon Geometry Trigonometry Algebra III


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