Autors: Tabov JB., Velchev, A. P., Alashka RM., Tsvetanov S.
Title: AN APPLICATION OF THE QUADRILATERAL’S GEOMETRY IN SOLVING COMPETITIVE PLANIMETRIC PROBLEMS
Keywords: Convex quadrilateral; incenter; pseudocenter; inverse isogon

Abstract: In the present publication, which can be considered as a continua- tion of the paper V. Nenkov, St. Stefanov, H. Haimov, An application of quadrilat- eral’s geometry in solving competitive mathematical problems, Synergetics and reflec- tion in mathematics education, Proceedings of the anniversary international scientific conference, Pamporovo, October 16-18, pp. 121–128, 2020, the application of the ge- ometry of quadrilateral to the solution of exams is considered. Three examples given in the magazine “Mathematics and Informatics” have been selected, the solutions of which illustrate well the benefit of studying the recently discovered properties of con- vex quadrilaterals. Two solutions to the tasks are presented for comparison. The first, proposed by participants in the competition, are relatively complex and longer, and the second—based precisely on elements of the geometry of quadrilateral, are signifi- cantly simpler and shorter. These solutions are based on properties of quadri

References

    Issue

    Scientific Journal, vol. XXVI, issue 1, pp. 46–53, 2023, Serbia, THE TEACHING OF MATHEMATICS, DOI 10.57016/TM-GKZB9621

    Full text of the publication

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science