Isosceles Triangle Investigation: Construction Prompt and Exploration Platform

① This example demonstrates how to construct an isosceles triangle in GeoGebra and provides an interactive platform for investigating its properties and related geometric relationships. ② Core mathematical concepts include the definition of an isosceles triangle (two equal sides), equal base angles, symmetry, and potential connections to the Pythagorean theorem, statistics, and correlation (e.g., relationships between side lengths and angles). ③ Construction highlights: although no specific commands are listed, typical approaches involve using the segment tool to draw the base, then using a compass or equal-length segment tool to locate the apex, or applying reflection transformations; sliders may be used to dynamically adjust side lengths, and measurement tools can record angles and lengths for data analysis. ④ Suitable for middle school geometry instruction, this resource encourages students to discover properties of isosceles triangles independently, and can also serve as an extension project combining geometry with statistics, ideal for classroom inquiry or student-led experiments.