The shortest path is not always a straight line
DOI:
https://doi.org/10.20873/uft.2675-3588.2026.v7n1.p9-14Keywords:
Euclidean Geometry, Taxicab Geometry, GeoGebraAbstract
Euclidean geometry is the best-known geometry and is widely used in math classes, but to what extent is it applicable in everyday life? When moving around the city, it's not possible to use the shortest path proposed by euclidean geometry, passing by buildings, for example. The Taxicab Geometry, a geometry not often discussed, is the one that best describes possible routes in everyday life. The taxicab geometry, or Manhattan Geometry, uses only horizontal or vertical segments, resembling a grid, like the Cartesian plane. This article proposes simple activities designed to encourage high school students to investigate the use of geometry in their daily lives, conjecture their results and verify which geometry is most appropriate.
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Copyright (c) 2025 Lisandra Maria Malaquias de Sousa, Frank Alves Lustosa, Hellena Christina Fernandes Apolinário, Warley Gramacho da Silva
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