Circle Symmetry Exploration (1a)

①This example dynamically demonstrates the symmetry properties of a circle, focusing on axial symmetry about a diameter and central symmetry about the center. ②Core mathematical concepts include circle symmetry, relationships between chords and diameters, perpendicular bisectors, equal angles, and geometric transformations. ③Construction highlights: using GeoGebra commands such as Intersect, Point, Circle, Segment, OrthogonalLine, and Angle to build the circle c, center O, radius point R, chords, perpendicular lines, and angle measurements, with text objects text1 and text2 annotating the results. ④Suitable for middle and high school students learning circle properties, symmetry transformations, and geometric proofs, as well as for teachers demonstrating visual verification of symmetry in the classroom.