SOME PROPERTIES OF THE ISOGONAL MATCHING OF THE TRIANGLE

Abstract

The article discusses features of studying one of the most beautiful transformations – the isogonal transformation, or, as it is also called in the literature, isogonal conjugation, which are practically not studied even in the course of elementary geometry of higher education. The authors focus on the development of an original methodology for studying the properties of isogonal transformations. The importance and difficulty of studying the theory of isogonal transformation is associated primarily with the versatility and variability as such. Interesting properties are identified and described, their various classifications are considered. Much attention is paid to the methodological scheme of proof. The methodology for introducing the basic methods of studying this issue presented in the article was implemented in a specific educational process in the classroom “Selected chapters of elementary mathematics” at Orenburg State Pedagogical University in teaching “Mathematical Education” to undergraduates and allowed students to improve the efficiency of assimilation of the material under study.