Os grupos diedrais e as isometrias de rotação e reflexão : uma sequência didática

Abstract

This work proposes a didactic sequence on rotations, reflections, and compositions of rotations and reflections of regular polygons for high school students. For this, the mathematical software GeoGebra and manipulable materials constructed during the sequence were used. The objective of this application is the implicit construction of the idea of dihedral groups and the verification of the properties of this group. With this, it seeks to deepen the study of geometric transformations, highlighting how their compositions generate an underlying algebraic structure and intuitively connecting concepts of school geometry to modern algebra.