AAS Triangle Congruence Exploration: Two Angles and One Side

This example demonstrates constructing a unique triangle using AAS (Angle-Angle-Side) condition. Students can set two angles and one side, then slide the free angle to observe how the triangle changes, exploring the uniqueness of triangle congruence. Key mathematical concepts include triangle congruence criteria, relationships between angles and sides, and geometric constraints. Construction uses commands: Point, Segment, Rotate, Angle, Line, Intersect, Polygon, with dynamic triangle creation by controlling angles α, β and side c. Suitable for secondary school geometry teaching, ideal for exploring congruence conditions, understanding geometric constraints, and developing dynamic inquiry skills.