Practice: Construct an Equilateral Triangle

① This example demonstrates how to construct an equilateral triangle from a given segment using GeoGebra's geometric construction tools. ② The core mathematical concept is the definition of an equilateral triangle (all sides equal) and the principles of compass-and-straightedge construction, where circles centered at the endpoints with radius equal to the segment length determine the third vertex. ③ Construction details: Based on the summary, the Point command creates points A and B, and the Segment command creates segment f; then two circles are drawn with centers A and B and radius f, and their intersection gives the third vertex C, which is connected to A and B to complete the triangle. ④ This is suitable for middle school geometry beginners to practice, and for teachers to demonstrate rigorous construction steps in class, helping students understand the logic and precision of geometric construction.