Parallelogram Construction and Property Exploration

① This GeoGebra worksheet demonstrates the construction of a parallelogram and allows students to explore its geometric properties interactively. ② Core mathematical concepts include the definition of a parallelogram (both pairs of opposite sides parallel), properties such as opposite sides equal, opposite angles equal, and diagonals bisecting each other, along with angle and distance measurement. ③ Construction details: using Segment and Line commands to draw the base figure, Intersect to determine vertices, and Angle and Distance tools to measure angles and side lengths. Objects include points A, B, C, D, segments a, b, c, d, and angles α, β, γ, δ, etc., making the construction fully dynamic. ④ Suitable for middle school geometry classes, this worksheet supports guided discovery learning, where students can drag vertices to observe invariant properties and deepen their understanding of parallelogram characteristics.