CONGRUENT SUBSTITUTIONS

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Published: 2025-12-05
DOI: https://doi.org/10.66073/ReFocus-Conf/407
Keywords:
congruence, isometry, geometry, translation, rotation, symmetry, distance, angle, coordinates, proof

Main Article Content

Khoshimova Dilobar Kuchkarovna
Senior teacher of the Shahrisabz State Pedagogical Institute
Boymurodova Shahzoda Alisher kizi
Student at Shahrisabz State Pedagogical Institute

Abstract

This scientific article analyzes the theory of congruent permutations, which play an important role in geometry. Congruent permutations are transformations that change the position of figures in space without changing their size and shape. The article considers the main types of these permutations - parallel translation, rotation and reflection - separately, and covers the analytical expression, mathematical proof and areas of practical application of each. It is also scientifically proven that complex motions in space can be formed through the invariants of congruent permutations and their combinations.

Article Details

Issue

Vol. 1 No. 1 (2025): Republican scientific-practical conference on “New Paradigms in Science, Technology and Education”

Section

Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Khoshimova Dilobar Kuchkarovna, & Boymurodova Shahzoda Alisher kizi. (2025). CONGRUENT SUBSTITUTIONS. Partner Conferences of the International Scientific Journal Research Focus, 1(1), 493-495. https://doi.org/10.66073/ReFocus-Conf/407

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