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International Journal of Mathematical Education in Science and Technology Volume 49, 2018 - Issue 4
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Classroom Notes

Magic of centroids

Daniela FerrarelloDepartment of Mathematics and Computer Science, University of Catania, Catania, Italy
,
Maria Flavia MammanaDepartment of Mathematics and Computer Science, University of Catania, Catania, ItalyCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0002-0578-4444
ORCID Icon &
Mario PennisiDepartment of Mathematics and Computer Science, University of Catania, Catania, Italy
Pages 628-641 | Received 01 Aug 2017, Published online: 05 Jan 2018
 
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ABSTRACT

In this paper, we show some properties of centroids of geometric figures, such as triangles, quadrilaterals and tetrahedra. In particular, we will prove the properties by means of geometric transformations and by introducing extensions of triangles and quadrilaterals, i.e. by adding one, two or three new vertices to the figure. The study of these properties can be used, with profit, in a classroom activity supported by a dynamic geometry system.

Disclosure statement

No potential conflict of interest was reported by the authors.

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