Reflection Exploration: Interactive Mirror and Distance Learning

This GeoGebra example demonstrates the reflection (mirror) transformation of geometric figures across a line, showing the symmetric relationship between original points and their images. Core math concepts include reflection transformation, axis of symmetry, distance from a point to a line, and invariance of distances under reflection. Construction highlights: uses Segment to create segments, Textfield and InputBox1 for interactive input, Mirror command to generate reflected objects (A', B', f'), Distance command to measure distances from points to the mirror line (e.g., distanceAg, distanceA'g), and Text objects to display distance values in real time, verifying that distances are preserved. Suitable for middle school to high school students learning geometric transformations, and for teachers demonstrating reflection properties in class. Users can drag points or modify inputs to explore the behavior.