A Dynamic Model to Engage Students in the Triangle's Inherent Similarity
Richard Kaufman — Founder of Office Expander
William Jackson — North Shore Community College
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pp. 32–41
Abstract
This paper presents a dynamic model created with GeoGebra to explore and demonstrate relationships inherent in triangles, particularly those involving side partitions formed by the triangle's altitudes. These relationships, while not commonly featured in high school geometry curricula, offer a unique opportunity for students to investigate mathematical theorems dynamically. The paper examines the relationships a1b1c1=a2b2c2 and a12+b12+c12=a22+b22+c22, providing an interactive GeoGebra model, formal proofs, and suggested materials for classroom use.
Keywords: triangle similarity, dynamic geometry software, classroom implementation
Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856 · North American GeoGebra Journal