GeoGebra on Scaling: Rotations and Proportional Relationships

This GeoGebra example demonstrates how scaling transforms plane figures by changing their size and positions, while explicitly connecting these changes to rotations and proportional relationships. It helps learners observe how geometric measurements evolve under a scaling transformation and how these measurement changes can be linked to function behavior. Key concepts include transformation geometry (scaling and rotation), distance/length relationships in plane figures, the Pythagorean Theorem for computing distances, and logarithmic functions for describing proportional change patterns. Construction and interaction: multiple buttons (button1–button6) and an application state (state) control the steps and parameters. Points A–F provide the reference geometry, while text objects (text1–text3 and text4–text6) display computed quantities and conclusions. The activity is suitable for high school advanced learners and early undergraduate students, especially for teaching transformation geometry, interpreting metrics visually, and connecting geometric change to function concepts.