Product ID: 99479
Supplementary Print
Undergraduate
Line Reflections in the Cartesian Plane (UMAP)
Author: Andrew M. Rockett
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

©1982 by COMAP, Inc.
UMAP Module
18 pages
Mathematics Topics:
Calculus
Application Areas:
Prerequisites:
Isometries in Euclidean geometry; Cartesian and polar coordinate systems
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