Midsegments of Triangles and Trapezoids – Dynamic GeoGebra Demo

① This interactive GeoGebra example visually demonstrates the midsegment (midline) properties of triangles and trapezoids, showing that the midsegment is parallel to the base and its length equals half the base (triangle) or half the sum of the two bases (trapezoid). ② Core mathematical concepts include the midsegment theorem, parallel lines, proportional segments, and area relationships, with optional extensions to variance, piecewise functions, parametric curves, and quadratic equations. ③ Construction uses GeoGebra commands such as Segment, Midpoint, Line, Point, and Distance, creating key points A, B, C, D, E, F, G, H, I, J, K and auxiliary objects f, g, h, i, j, k, l, m, n, p to form midsegments and measure lengths for verification. ④ Suitable for middle school to high school students, this resource supports classroom exploration, theorem verification, and teacher-made interactive lessons, helping learners grasp the unified and distinct aspects of midsegments in triangles and trapezoids.