Side-side-angle triangle congruence axiom and the complete quadrilaterals-Reference-Cited by-同舟云学术

Side-side-angle triangle congruence axiom and the complete quadrilaterals

Published:2023 Issue:3 Volume:31 Page:1271-1286
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Csiba Peter¹,Németh László²

Affiliation:

1. Department of Mathematics, J. Selye University, Komárno 94501, Slovakia

2. Institute of Informatics and Mathematics, University of Sopron, Sopron 9400, Hungary

Abstract

<abstract><p>Among the triangle congruence axioms, the side-side-angle (SsA) axiom states that two triangles are congruent if and only if two pairs of corresponding sides and the angles opposite the longer sides are equal. We construct two triangle sequences in which the items satisfy a modified condition. We require that the opposite angles of the shorter sides be equal. The locus of the intersection points of other sides of triangles is derived to be a hyperbola, and in a generalized form defined by a complete quadrilateral, it is a conic section.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference8 articles.

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