Group 11: Rotational/Reflective Construction with Rhombus and Scalene Triangles

This example demonstrates how to build a composite geometric pattern by applying rotation-based transformations (yielding symmetric/reflective configurations) so that rhombus-related shapes and scalene triangles (non-equal side lengths) emerge within one coordinated diagram. The core ideas include geometric constructions with polygons, transformation geometry (rotation symmetry and mirrored-copy effects), and parameter-driven motion that reveals how the figure changes continuously. It also incorporates cuboid-style dimensions (length/width/height parameters) to connect planar construction with solid-geometry parameters. Construction is carried out using GeoGebra commands Point, Polygon, and Rotate: key points (A, B, C and multiple parameter points such as q1, q2–q6, plus t, l, w, h) define the polygons, while Rotate creates rotated copies that serve as the symmetric counterparts (q2', q4', q5', q6', t'). Buttons (button1, button2) control steps or animation updates, and text labels (text1) annotate important parts of the construction. Suitable for middle and high school geometry lessons on constructions and transformations, as well as for introductory parametric modeling with solid-geometry parameters.