A Proof without Words for Angle Bisectors of Right Triangles.

Moshe Stupel; Jay M. Jahangiri

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ERIC Number: EJ1470039

Record Type: Journal

Publication Date: 2025

Pages: 3

Abstractor: As Provided

ISBN: N/A

ISSN: ISSN-0020-739X

EISSN: EISSN-1464-5211

Available Date: 0000-00-00

A Proof without Words for Angle Bisectors of Right Triangles

Moshe Stupel¹; Jay M. Jahangiri^2,3,4

International Journal of Mathematical Education in Science and Technology, v56 n5 p989-991 2025

In this article, we state an interesting geometric conservation property between the three angle bisectors of three similar right triangles and provide a proof without words for its justification. A GeoGebra applet is also presented to help with the understanding of the progression of the proof from inductive to deductive stage.

Descriptors: Geometry, Mathematics Instruction, Computer Software, Teaching Methods, Validity, Mathematical Logic

Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals

Publication Type: Journal Articles; Reports - Descriptive

Education Level: N/A

Audience: N/A

Language: English

Sponsor: N/A

Authoring Institution: N/A

Grant or Contract Numbers: N/A

Author Affiliations: ¹Shaanan Religious Teachers’ Training College, Haifa, Israel; ²Mathematical Sciences, Kent State University, Kent, OH, USA; ³Geauga, OH, USA; ⁴Twinsburg Academic Center, OH, USA