Geometric Construction with Circles and Reflection Revealing Fractional Relation

This GeoGebra example demonstrates how circle-based geometry combined with mirror (reflection) symmetry and polygon/segment connections can visualize a fractional or ratio-like relationship within a constructed figure. The key math ideas include geometric construction (constructing a circle, forming polygons and segments) and a transformation viewpoint via reflection (Mirror) to produce corresponding points and segments. Construction highlights: it uses the Circle command to create the base circle, Mirror to obtain reflected (corresponding) objects from original points, and Polygon/Segment to connect key vertices into the resulting boundary and internal structure. The diagram is assembled from characteristic points listed in the construct summary (e.g., E, A, B, C, D and their derived or reflected versions such as b′, c′), along with labeled auxiliary objects (c, d, q1, b, c_1, f, g, h, i) to keep the configuration consistent. Suitable for secondary school geometry lessons and interactive demonstrations on transformations and ratio-style relationships in visual mathematics.