Line Reflections in the Cartesian Plane (UMAP)

A unit that involves line reflections in the Cartesian plane. Let f: R2 --> R2 be reflection in the line Ax + By + C = 0. In this module the formula in A, B, and C of the image of (x, y) under f is found. Examples and exercises compute explicit formulas for some simple reflections, a translation, and a rotation.

Table of Contents:

1. INTRODUCTION

2. THE GENERAL EQUATION OF A LINE

3. REFLECTION IN THE LINE Ax + By +C = 0

4. EXAMPLES AND EXERCISES
4.1 Reflection in the x-axis
4.2 Reflection in a Horizontal Line
4.3 A Translation
4.4 A Rotation

5. BIBLIOGRAPHY

6. ANSWERS TO EXERCISES