Lesson 4: Construction Techniques 2 – Equilateral Triangles

This example demonstrates the classic compass‑and‑straightedge construction of an equilateral triangle using GeoGebra. It covers the definition of an equilateral triangle, congruent triangles, the property that radii of the same circle are equal, and the basic axioms of geometric construction. The construction steps: create two base points A and B; draw circles centered at A and B with radius AB; intersect the circles to obtain point C; finally use Polygon(A,B,C) to form the equilateral triangle. The object list shows A, B, and pic1 (the resulting triangle). Suitable for middle‑school geometry lessons, high‑school review, and introductory geometric construction workshops, as well as teacher preparation and student self‑exploration.