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ERIC Number: EJ1108269
Record Type: Journal
Publication Date: 2016
Pages: 17
Abstractor: As Provided
ISSN: ISSN-0020-739X
Homothetic Transformations and Geometric Loci: Properties of Triangles and Quadrilaterals
Mammana, Maria Flavia
International Journal of Mathematical Education in Science and Technology, v47 n7 p1103-1119 2016
In this paper, we use geometric transformations to find some interesting properties related with geometric loci. In particular, given a triangle or a cyclic quadrilateral, the locus generated by the centroid or by the orthocentre (for triangles) or by the anticentre (for cyclic quadrilaterals) when one vertex moves on the circumcircle of the figure are considered. These loci are studied in paragraphs 3 and 4. By means of the homothetic transformations some properties of triangles and quadrilaterals are found. The study of these properties can be used, with profit, in a classroom activity supported by Dynamic Geometry System.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A