i Table of contents 348

Honors Geometry Companion Book, Volume 2

This companion book to Thinkwell's Geometry course includes: • Illustrated lesson notes • Lesson worksheets • Practice exercises • Review worksheets • Suggested pacing guide • Formula and resource worksheets Geometry Volume 2 covers: Ch 7 - Similarity Ch 8 - Right Triangles and Trigonometry Ch 9 - Extending Perimeter, Circumference and Area Ch 10 - Spatial Reasoning Ch 11 - Circles Ch 12 - Transformational Geometry

Cover		1
Welcome Page		5
Table of Contents		9
Tips for Success		11
Suggested Pacing Guide		13
Chapter 7 – Similarity		15
7.1 Similarity Relationships		17
7.1.1 Ratio and Proportion		19
7.1.2 Ratios in Similar Polygons		25
7.1.3 Triangle Similarity: AA, SSS, and SAS		29
7.1 Review Worksheet		35
7.2 Applying Similarity		39
7.2.1 Applying Properties of Similar Triangles		41
7.2.2 Using Proportional Relationships		47
7.2.3 Dilations and Similarity in the Coordinate Plane		52
7.2 Review Worksheet		58
Chapter 8 – Right Triangles and Trigonometry		63
8.1 Trigonometric Ratios		65
8.1.1 Similarity in Right Triangles		67
8.1.2 Trigonometric Ratios		72
8.1.3 Solving Right Triangles		78
8.1 Review Worksheet		84
8.2. Applying Trigonometric Ratios		89
8.2.1 Angles of Elevation and Depression		91
8.2.2 Law of Sines and Law of Cosines		95
8.2.3 Vectors		100
8.2 Review Worksheet		106
Chapter 9 – Extending Perimeter, Circumference, and Area		111
9.1 Developing Geometric Formulas		113
9.1.1 Developing Formulas for Triangles and Quadrilaterals		115
9.1.2 Developing Formulas for Circles and Regular Polygons		124
9.1.3 Composite Figures		129
9.1 Review Worksheet		134
9.2 Applying Geometric Formulas		139
9.2.1 Perimeter and Area in the Coordinate Plane		141
9.2.2 Effects of Changing Dimensions Proportionally		146
9.2.3 Geometric Probability		152
9.2 Review Worksheet		159
Chapter 10 – Spatial Reasoning		163
10.1 Three- Dimensional Figures		165
10.1.1 Solid Geometry		167
10.1.2 Representations of Three-Dimensional Figures		172
10.1.3 Formulas in Three Dimensions		178
10.1 Review Worksheet		185
10.2 Surface Area and Volume		189
10.2.1 Surface Area of Prisms and Cylinders		191
10.2.2 Surface Area of Pyramids and Cones		199
10.2.3 Volume of Prisms and Cylinders		207
10.2.4 Volume of Pyramids and Cones		214
10.2.5 Spheres		221
10.2 Review Worksheet		228
Chapter 11 – Circles		237
11.1 Lines and Arcs in Circles		239
11.1.1 Lines That Intersect Circles		241
11.1.2 Arcs and Chords		247
11.1.3 Sector Area and Arc Length		253
11.1 Review Worksheet		257
11.2 Angles and Segments in Circles		261
11.2.1 Inscribed Angles		263
11.2.2 Angle Relationships in Circles		270
11.2.3 Segment Relationships in Circles		277
11.2.4 Circles in the Coordinate Plane		282
11.2 Review Worksheet		287
Chapter 12 – Transformational Geometry		293
12.1 Congruence Transformations		295
12.1.1 Reflections		297
12.1.2 Translations		303
12.1.3 Rotations		308
12.1.4 Compositions of Transformations		314
12.1 Review Worksheet		319
12.2 Patterns		325
12.2.1 Symmetry		327
12.2.2 Tessellations		333
12.2.3 Dilations		340
12.2 Review Worksheet		345
Blank Graph Paper		349
Formulas & Symbols		355

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