Sukladnost i izometrije

master's thesis

• Author: Ivana Mišak
• Mentor: Mea Bombardelli (mentor)
• Committee member: Mea Bombardelli (predsjednik povjerenstva)
• Committee member: Zrinka Franušić (član povjerenstva)
• Committee member: Miljenko Marušić (član povjerenstva)
• Committee member: Nikola Sandrić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2018-03-01, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Sukladnost i izometrije poznati su pojmovi još od osnovne i srednje škole. U školi se sukladnost trokuta uglavnom definira pomoću jednakosti duljina stranica i mjera kutova. U ovom radu tim pojmovima pristupamo koristeći Hilbertov sustav aksioma. Sukladnost trokuta i drugih likova definiramo koristeći izometrije. Time želimo ukazati na povezanost tih dvaju pojmova jer se u srednjoj školi nakon obrade izometrija ne donosi jasan zaključak o njihovoj povezanosti.

Abstract (english)

Congruence and isometry are known concepts since primary and secondary school. In the school, congruent triangles are mostly defined by the equality of side lengths and measures of angles. In this work we approach to these concepts using the Hilbert’s system of axioms. Triangle congruence and congruence of geometric shapes is defined using isometry. We want to point out the connection between these two terms because in high school after the isometry lesson there is no clear conclusion about their connection.

• Keywords: sukladnost; izometrija; Hilbertov sustav aksioma
• Keywords (english): congruence; isometry; Hilbert’s system of axioms
• Language: croatian
• URN:NBN: urn:nbn:hr:217:477771
• Study programme: Title: Mathematics Education; specializations in: Mathematics Education; Course: Mathematics Education; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2018-09-06 12:00:51