Geometric construction with circles, reflection, angle bisectors, and polygon fo

This example demonstrates how to build a constrained geometric configuration using a circle together with reflection (mirror symmetry) and angle bisectors. By constructing reflected elements, finding intersections, and connecting key points, the model forms a polygon whose structure reveals the underlying angle and symmetry relationships. The main concepts include circle geometry, mirror symmetry, the angle-bisector principle (LineBisector), intersection construction (Intersect), and polygon formation from a sequence of constructed points (Polygon/Segment). In GeoGebra it is implemented with Circle to define the circle, Mirror to reflect points/objects across a chosen line or object, LineBisector to create the bisector that controls the angle relationship, Intersect to locate critical intersection points, and Polygon/Segment to connect points and visualize edges; Angle/α are used to mark or analyze the resulting angle connections. Suitable for secondary-school geometry instruction and for learners practicing geometric construction and reasoning with symmetry and angle bisectors.