Geometry

INDEX
 

Introduction

Aims

Vectors

Translation

Rotation

Symmetry

TRANSFORMATIONS ON THE PLANE
INTRODUCTION

In this unit we will focus on transformations on the plane in a very intuitive and practical way. The idea is to try and "visualise" the movements before conceptualising them. In the last section, Symmetry, we shall look at how the three types of transformation relate to each other.

This first section about vectors is an introduction to them and is necessary in order to fully understand the notion of translation.

AIMS
  • To introduce the concept of a vector and its coordinates.
  • To be aware of and know how to work out translations using vectors.
  • To be aware of and know how to carry out rotation about a given centre and through a given angle. To be aware of symmetry through a central point.
  • To be aware of and know how to find the symmetry of simple shapes. To know how to find lines of symmetry. To know how these three types of transformation relate to each other.

  Miguel García Reyes
 
Spanish Ministry of Education. Year 2001
 
 

Licencia de Creative Commons
Except where otherwise noted, this work is licensed under a Creative Common License