Two Equilateral Triangles Form a Larger One

This GeoGebra example demonstrates how two congruent equilateral triangles can be combined through geometric transformations to form a larger equilateral triangle. The core mathematical concepts include properties of equilateral triangles, geometric transformations (rotation, translation, reflection), and methods for finding midpoints and intersections. The construction utilizes GeoGebra commands: Polygon, Midpoint, Rotate, Segment, Translate, Intersect, Mirror, and If. This example is suitable for middle school students learning geometric transformations and triangle properties, as well as for exploring the combinatorial patterns of equilateral triangles.