Geometric Construction with Circles and Symmetry Lines: Linking Divisibility (LC

This example demonstrates how to build a geometric configuration on the plane using circles together with symmetry/partition lines, creating relationships that can support reasoning connected to divisibility properties (e.g., organizing data using LCM/GCD ideas). The key mathematical concepts include circle geometry (Circle), constructions related to a rhombus/diamond-style constraints (arising from splitting or symmetry), and the number-theoretic concepts of natural numbers with KGV/GGT (least common multiple / greatest common divisor). It also ties into the teaching theme of hypothesis/significance testing (Hypothesentest oder Signifikanztest) as an integrative storyline. Construction highlights from the GeoGebra summary: the workflow uses commands such as SelectedIndex and Circle, along with multiple indexed and corresponding geometric objects (e.g., l1–l4, index1–index4, cor1–cor4) to generate the required points and figure elements. Interactive steps include moving/adjusting elements (e.g., move operations) and adding labels (text1–text3). Suitable for late middle school through early university, especially for GeoGebra geometric construction practice and interdisciplinary lessons combining geometry, number theory, and basic statistical testing.