Equilateral Triangle Construction

This example demonstrates how to construct an equilateral triangle using compass and straightedge. The core mathematical concepts include equal sides, 60-degree angles, and rotational symmetry of equilateral triangles. Construction method: Use a compass to draw two circles with the endpoints of a given segment as centers and the segment length as radius; connecting the intersection points with the endpoints creates the equilateral triangle. Alternatively, in GeoGebra, use the Rotate command to rotate the segment 60° around an endpoint to form the third side. Suitable for middle school geometry teaching, covering triangle construction, circle properties, rotation, and congruent triangles.