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Whitney, FSA, MAAA  \nVersion 4.2  \nAugust 26, 2023  \nCopyright 2010-2023, Earl Whitney, Reno NV. All Rights Reserved  \nGeometry Handbook  \nTable of Contents  \nPage Description  \nChapter 1: Basics  \n6 Points, Lines & Planes  \n7 Segments, Rays & Lines  \n8 Distance Between Points in 1 Dimension  \n8 Distances Between Collinear Points  \n9 Distance Between Points in 2 Dimensions  \n11 Partial Distances and Distance Equations  \n12 Distance Formula in “n” Dimensions  \n13 Angles  \n14 Types of Angles  \nChapter 2: Proofs  \n16 Conditional Statements (Original, Converse, Inverse, Contrapositive)  \n17 Basic Properties of Algebra (Equality and Congruence, Addition and Multiplication)  \n18 Inductive vs. Deductive Reasoning  \n19 An Approach to Proofs  \nChapter 3: Parallel and Perpendicular Lines  \n22 Parallel Lines and Transversals  \n23 Multiple Sets of Parallel Lines  \n24 Proving Lines are Parallel  \n25 Parallel and Perpendicular Lines in the Coordinate Plane  \n27 Proportional Segments  \nChapter 4: Triangles-Basic  \n29 What Makes a Triangle?  \n31 Inequalities in Triangles  \n35 Types of Triangles (Scalene, Isosceles, Equilateral, Right)  \n37 Congruent Triangles (SAS, SSS, ASA, AAS, HL, CPCTC)  \n40 Centers of Triangles  \n42 Length of Height, Median and Angle Bisector  \nChapter 5: Polygons  \n43 Polygons – Basic (Definitions, Names of Common Polygons)  \n44 Polygons – More Definitions (Definitions, Diagonals of a Polygon)  \n45 Interior and Exterior Angles of a Polygon  \nCover art by Rebecca Williams, Twitter handle: @jolteonkitty  \nGeometry Handbook Table of Contents  \nPage Description  \nChapter 6: Quadrilaterals  \n46 Definitions of Quadrilaterals  \n47 Figures of Quadrilaterals  \n48 Amazing Property of Quadrilaterals  \n52 Characteristics of Parallelograms  \n53 Parallelogram Proofs (Sufficient Conditions)  \n54 Kites and Trapezoids  \nChapter 7: Transformations  \n55 Introduction to Transformation  \n57 Reflection  \n59 Rotation  \n61 Translation  \n63 Compositions  \n65 Rotation About a Point Other than the Origin  \nChapter 8: Similarity  \n68 Ratios Involving Units  \n69 Similar Polygons  \n70 Scale Factor of Similar Polygons  \n71 Dilations of Polygons  \n73 More on Dilation  \n74 Similar Triangles (SSS, SAS, AA)  \n75 Proportion Tables for Similar Triangles  \n78 Three Similar Triangles  \nChapter 9: Right Triangles  \n80 Pythagorean Theorem  \n81 Pythagorean Triples  \n83 Special Triangles (45⁰-45⁰-90⁰ Triangle, 30⁰-60⁰-90⁰ Triangle)  \n85 Trigonometric Functions and Special Angles  \n86 Trigonometric Function Values in Quadrants II, III, and IV  \n87 Graphs of Trigonometric Functions  \n90 Vectors  \n91 Operating with Vectors  \nGeometry Handbook Table of Contents  \nPage Description  \nChapter 10: Circles  \n92 Parts of a Circle  \n93 Angles, Arcs, and Segments  \n94 Circle Vocabulary  \n95 Facts about Circles  \n95 Facts about Chords  \n97 Facts about Tangents  \nChapter 11: Perimeter and Area  \n98 Perimeter and Area of a Triangle  \n100 More on the Area of a Triangle  \n101 Perimeter and Area of Quadrilaterals  \n102 Perimeter and Area of Regular Polygons  \n106 Circle Lengths and Areas  \n108 Area of Composite Figures  \nChapter 12: Surface Area and Volume  \n111 Polyhedra  \n112 A Hole in Euler’s Theorem  \n113 Platonic Solids  \n114 Prisms  \n116 Cylinders  \n118 Surface Area by Decomposition  \n119 Pyramids  \n121 Cones  \n123 Spheres  \n125 Similar Solids  \n127 Appendix A: Geometry Formulas  \n129 Appendix B: Trigonometry Formulas  \n131 Index  \nGeometry Handbook  \nTable of Contents  \nUseful Websites  \nWolfram Math World – Perhaps the premier site for mathematics on the Web. This site contains definitions, explanations and examples for elementary and advanced math topics.  \n[mathworld.wolfram.com/](mathworld.wolfram.com/)  \n[Mathguy.us](Mathguy.us) – Developed specifically for math students from Middle School to College, based on the author's extensive experience in pro","cbCaioWa70q2dkMG","https://ap.wps.com/l/cbCaioWa70q2dkMG","pdf",5764237,137,"English","# Chapter 1: Basics\n## Points, Lines & Planes\n## Segments, Rays & Lines\n## Distance Between Points in 1 Dimension\n## Distances Between Collinear Points\n## Distance Between Points in 2 Dimensions\n## Partial Distances and Distance Equations\n## Distance Formula in “n” Dimensions\n## Angles\n## Types of Angles","[{\"question\":\"What geometry topics related to distance are included?\",\"answer\":\"It covers distance in one dimension, distances between collinear points, distance in two dimensions, partial distances and distance equations, and the distance formula in “n” dimensions.\"}]","Geometry Handbook - Chapter 1 - Basics | PDF",1789745474,345]