Parallel Lines Construction and Mirror Transformation

This example demonstrates the construction of parallel lines and related figures using mirror, point, and segment elements. The core mathematical concepts involve the properties of parallel lines, axial symmetry (mirror transformation), and positional relationships among geometric objects. Key construction steps include using GeoGebra's Mirror command to reflect points or segments, Point to create essential vertices, and Segment to connect them, with objects such as d, P, eq1, eq2, eq3, A, A_1, A_2, A_3, B, eq4, n, a, and f forming the complete structure. It is suitable for middle school geometry lessons, helping students intuitively understand how to construct parallel lines, the geometric meaning of mirror transformations, and how to explore properties using dynamic geometry software.