Movable Kite

① This example demonstrates a dynamically movable kite-shaped quadrilateral, allowing users to drag vertices and observe changes in its shape and geometric properties. ② Core mathematical concepts include the definition of a kite (two pairs of adjacent equal sides), perpendicular diagonals, axis of symmetry, angle bisectors, orthocenter, and secant lines, along with standard deviation as a dynamic measure. ③ Construction highlights: using GeoGebra commands Line, AngularBisector, Point, Mirror, Segment, and Intersect to create objects A, B, f, C, g, h, i, D, F, j, k, l, m, n, p, E; angle bisectors and mirroring construct symmetry, while intersections determine key points like the orthocenter. ④ Suitable for middle and high school geometry classes to explore quadrilateral properties, symmetry transformations, and dynamic geometry, as well as for visualizing standard deviation in statistics.