i Table of contents 364

Honors Geometry Companion Book, Volume 1

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 Volume 1 covers: Ch 1 - Fundamentals of Geometry Ch 2 - Reasoning and Writing Geometric Proofs Ch 3 - Parallel and Perpendicular Lines Ch 4 - Triangle Congruence Ch 5 - Properties and Attributes of Triangles

Cover		1
Welcome Page		5
Table of Contents		9
Tips for Success		11
Suggested Pacing Guide		13
Chapter 1 – Fundamentals of Geometry		15
1.1 Points, Lines, Planes, and Angles		17
1.1.1 Understanding Points, Lines, and Planes		19
1.1.2 Measuring and Constructing Segments		26
1.1.3 Measuring and Constructing Angles		34
1.1.4 Pairs of Angles		41
1.1 Review Worksheet		48
1.2 Coordinate and Transformation Tools		53
1.2.1 Using Formulas in Geometry		55
1.2.2 Midpoint and Distance in the Coordinate Plane		61
1.2.3 Transformations in the Coordinate Plane		68
1.2 Review Worksheet		74
Chapter 2 – Reasoning and Writing Geometric Proofs		77
2.1 Inductive and Deductive Reasoning		79
2.1.1 Using Inductive Reasoning to Make Conjectures		81
2.1.2 Conditional Statements		87
2.1.3 Using Deductive Reasoning to Verify Conjectures		93
2.1.4 Biconditional Statements and Definitions		100
2.1 Review Worksheet		105
2.2 Mathematical Proof		109
2.2.1 Algebraic Proof		111
2.2.2 Geometric Proof		118
2.2.3 Flowchart and Paragraph Proofs		125
2.2 Review Worksheet		132
Chapter 3 – Parallel and Perpendicular Lines		137
3.1 Lines with Transversals		139
3.1.1 Planes, Lines, and Angles		141
3.1.2 Angles, Parallel Lines, and Transversals		146
3.1.3 Proving that Lines are Parallel		152
3.1.4 Properties of Perpendicular Lines		159
3.1 Review Worksheet		164
3.2 Slope and the Equation of a Line		169
3.2.1 Finding the Slope Given Two Points		171
3.2.2 Slope-Intercept Form		176
3.2.3 Point-Slope Form		183
3.2.4 Slopes of Parallel and Perpendicular Lines		192
3.2 Review Worksheet		198
Chapter 4 – Triangle Congruence		201
4.1 Triangles and Congruence		203
4.1.1 Classifying Triangles		205
4.1.2 Angle Relationships in Triangles		210
4.1.3 Congruent Triangles		217
4.1 Review Worksheet		223
4.2 Proving Triangle Congruence		227
4.2.1 Triangle Congruence: SSS and SAS		229
4.2.2 Triangle Congruence: ASA, AAS, and HL		235
4.2.3 Triangle Congruence: CPCTC		240
4.2.4 Introduction to Coordinate Proof		246
4.2.5 Isosceles and Equilateral Triangles		251
4.2 Review Worksheet		257
Chapter 5 – Properties and Attributes of Triangles		263
5.1 Segments in Triangles		265
5.1.1 Perpendicular and Angle Bisector Theorems		267
5.1.2 Medians, Altitudes, and Midsegments in Triangles		273
5.1 Review Worksheet		279
5.2 Relationships in Triangles		281
5.2.1 Indirect Proof and Inequalities in One Triangle		283
5.2.2 Inequalities in Two Triangles		290
5.2.3 The Pythagorean Theorem		295
5.2.4 Applying Special Right Triangles		301
5.2 Review Worksheet		306
Chapter 6 – Polygons and Quadrilaterals		311
6.1 Polygons and Parallelograms		313
6.1.1 Properties and Attributes of Polygons		315
6.1.2 Properties of Parallelograms		322
6.1.3 Conditions for Parallelograms		328
6.1 Review Worksheet		335
6.2 Other Special Quadrilaterals		339
6.2.1 Properties of Special Parallelograms		341
6.2.2 Conditions for Special Parallelograms		347
6.2.3 Properties of Kites and Trapezoids		352
6.2 Review Worksheet		361
Blank Graph Paper		365
Formulas & Symbols		371

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