Constructing an ASA Triangle with GeoGebra

This example demonstrates how to construct a triangle given two angles and the included side (ASA condition) using GeoGebra's geometric construction tools. The core mathematical concept is the ASA congruence criterion, which states that a triangle is uniquely determined by two angles and the side between them. The construction steps include: using the Point tool to create points A and B as endpoints of the base segment, the Segment tool to draw side f, the Rotate tool to rotate the side around point B by angle α to form ray g, and similarly rotating around point A to form ray h; the Intersect tool finds their intersection point C, and the Polygon tool connects A, B, and C to form the triangle. The Angle tool is used to display angles α and β. This example is suitable for middle school geometry lessons, helping students visualize the ASA theorem and learn essential GeoGebra commands such as Rotate, Ray, Intersect, and Polygon.