Comparing Similar Rectangular Prisms via Dilation

This GeoGebra activity lets students modify a pair of 3D solids and visually test whether two rectangular prisms (built from corresponding faces/edges) are similar under a similarity transformation. It highlights the preservation of proportionality among corresponding edges and faces when a dilation (scaling) is applied. Key concepts include dilation/similarity transformations, similarity of solids via corresponding lengths, geometric mean ideas used in proportional checks, and solid-geometry reasoning with vertices, edges, and faces. Construction uses GeoGebra commands and objects such as PointIn/Point and Polygon to set up defining points and base shapes, Prism to create the rectangular prism solids, Line and Intersect to determine intersection-based reference points, Max to select relevant measurements for the setup, and Dilate to generate the similar counterpart. Segments plus explicit face/edge objects (e.g., faceDEJI, edgeDI, edgeJK, etc.) are used to present and compare corresponding geometric features. Suitable for late middle school through early college, especially for lessons and explorations on 3D similarity and transformations.