Exploring Isosceles Triangles (Dynamic Construction & Discovery)

This interactive GeoGebra example demonstrates the construction and property discovery of isosceles triangles. It focuses on core geometric concepts such as the definition of an isosceles triangle (two equal sides), equal base angles, the axis of symmetry, and the triangle angle sum. The construction uses GeoGebra's geometric tools (e.g., segments, compass or circle-based construction) to dynamically create an isosceles triangle, allowing users to drag vertices and observe how side lengths and angles change, thereby inducing the key properties. It is suitable for middle school geometry lessons or self-directed exploration, helping students deepen their understanding of isosceles triangle properties and develop geometric intuition and reasoning skills.