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ANALYTIC GEOMETRY

CHAPTER 2: COORDINATES AND GEOMETRY: WHERE SHAPES MEET SYMBOLS

The Chapter Problem: Where should the Surveyor Put The Stakes?

 

Surveyors — Job Description

   

Challenge 1

 

Soil Nailing — Information

 
   

 Challenge 2

2.1 Exploration: Graphical Images: Combining Symbolic and Visual Models

  The Use of Pixels — Information
  Computer Graphics World — Information and Resources
  TI-83 Plus/Drawing Points — Tutorial
 
   

 2.2 Technology: Using The Geometer's Sketchpad

  The Geometer's Sketchpad — Downloadable Demo Version
  Introduction to The Geometer's Sketchpad — Tutorial
   
 
   

2.3 Distance on the Plane — Part I: Distance From the Origin

  Location, Distance and Direction on Maps — Information
 
   

2.4 The Equation of a Circle

  Circles — Information, Definitions, Equations
 
   

2.5 Distance on the Plane — Part II

  The Distance Formula — Tutorial
  The Distance Formula — Exploration
 
   

2.6 Technology: The Geometer's Sketchpad: The Midpoint of a Line Segment

  The Distance Formula — Exploration
 
   

2.7 Finding the Midpoint of a Line Segment

  Distance Formula And Midpoint — Calculator
 
   

 2.8 Classifying Shapes on a Coordinate Plane

  Properties of Triangles — Information
  Triangle Terminology — Information
  Quadrilateral Relationships — Information and Exploration
 
   

2.10 Using the Point of Intersection to Solve Problems

  Triangle Centres — Information
  Triangle Centres — Exploration
 
   

 2.11 Verifying Geometric Properties

  Geometric Properties and Theorems — Information