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 6 - Polygons and Quadrilaterals Ch 7 - Similarity Ch 8 - Right Triangles and Trigonometry Ch 9 - Extending Perimeter, Circumference and Area Ch 10 - Spatial Reasoning


Cover
1

Welcome Page
5

Table of Contents
9

Tips for Success
11

Suggested Pacing Guide
13

Chapter 6 – Polygons and Quadrilaterals
15

6.1 Polygons and Parallelograms
17

6.1.1 Properties and Attributes of Polygons
19

6.1.2 Properties of Parallelograms
26

6.1.3 Conditions for Parallelograms
32

6.1 Review Worksheet
39

6.2 Other Special Quadrilaterals
43

6.2.1 Properties of Special Parallelograms
45

6.2.2 Conditions for Special Parallelograms
51

6.2.3 Properties of Kites and Trapezoids
56

6.2 Review Worksheet
65

Chapter 7 – Similarity
69

7.1 Similarity Relationships
71

7.1.1 Ratio and Proportion
73

7.1.2 Ratios in Similar Polygons
79

7.1.3 Triangle Similarity: AA, SSS, and SAS
83

7.1 Review Worksheet
89

Chapter 8 – Right Triangles and Trigonometry
93

8.1 Trigonometric Ratios
95

8.1.1 Similarity in Right Triangles
97

8.1.2 Trigonometric Ratios
102

8.1.3 Solving Right Triangles
108

8.1 Review Worksheet
114

Chapter 9 – Extending Perimeter, Circumference, and Area
119

9.1 Developing Geometric Formulas
121

9.1.1 Developing Formulas for Triangles and Quadrilaterals
123

9.1.2 Developing Formulas for Circles and Regular Polygons
132

9.1 Review Worksheet
137

Chapter 10 – Spatial Reasoning
141

10.1 Surface Area and Volume
143

10.1.1 Surface Area of Prisms and Cylinders
145

10.1.2 Surface Area of Pyramids and Cones
153

10.1.3 Volume of Prisms and Cylinders
161

10.1 Review Worksheet
168

Chapter 11 – Circles
175

11.1 Lines and Arcs in Circles
177

11.1.1 Lines That Intersect Circles
179

11.1.2 Arcs and Chords
185

11.1 Review Worksheet
191

11.2 Angles and Segments in Circles
195

11.2.1 Inscribed Angles
197

11.2.2 Angle Relationships in Circles
204

11.2.3 Segment Relationships in Circles
211

11.2 Review Worksheet
216

Chapter 12 – Transformational Geometry
221

12.1 Congruence Transformations
223

12.1.1 Reflections
225

12.1.2 Translations
231

12.1.3 Rotations
236

12.1 Review Worksheet
242

Blank Graph Paper
247

www.thinkwellhomeschool.com

Made with FlippingBook Annual report maker