Dynamics of Triangle Similarity: Exploring Similitude Ratios through Interactive Sliding Controls

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Marcelo Bairral
Marcelo Bairral
2
Cristiano de Souza Brito
Cristiano de Souza Brito

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Similarity is crucial in mathematics and other fields. It relates to different curricular mathematics content, for instance, proportionality, measures, and shapes. This article discusses the interactions of prospective teachers when performing similarity tasks in a multiuser, online, virtual, and synchronous environment with Geo Gebra, the VMTwG. The analyzed task focused on the similarity ratio from a slider. The focus here is to illustrate how the subjects interact when dragging free points of two triangles created with dependence on each other and using a checkered mesh. Data production came from registers written and Geo Gebra screen construction by participants and VMT replayer. The use of the slider may represent a more potent form of thought process, which implies both the global observation of geometric properties, the validation of conjectures and checking detailed results.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Marcelo Bairral. 2026. \u201cDynamics of Triangle Similarity: Exploring Similitude Ratios through Interactive Sliding Controls\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 24 (GJSFR Volume 24 Issue F1): .

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Exploring similarity ratios through interactive sliding controls and theorems analysis.
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GJSFR Volume 24 Issue F1
Pg. 17- 33
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

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February 19, 2024

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English

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Similarity is crucial in mathematics and other fields. It relates to different curricular mathematics content, for instance, proportionality, measures, and shapes. This article discusses the interactions of prospective teachers when performing similarity tasks in a multiuser, online, virtual, and synchronous environment with Geo Gebra, the VMTwG. The analyzed task focused on the similarity ratio from a slider. The focus here is to illustrate how the subjects interact when dragging free points of two triangles created with dependence on each other and using a checkered mesh. Data production came from registers written and Geo Gebra screen construction by participants and VMT replayer. The use of the slider may represent a more potent form of thought process, which implies both the global observation of geometric properties, the validation of conjectures and checking detailed results.

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Dynamics of Triangle Similarity: Exploring Similitude Ratios through Interactive Sliding Controls

Marcelo Bairral
Marcelo Bairral
Cristiano de Souza Brito
Cristiano de Souza Brito

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