Activity 5: Pyramid Translation – Vector-Based 3D Transformation

This GeoGebra activity demonstrates the translation of a pyramid (quadrilateral-based solid) in 3D space, showing how a geometric solid moves along a vector while preserving its shape and size. The core mathematical concepts include vectors, translation transformations, solid geometry, and integer-coordinate point manipulation. Construction details: based on the summary, the Segment command is used to create edges and base sides, with original vertices A, B, C, D, E and their translated images A', B', C', D', E', followed by a second translation to A'', B'', etc. Many segment objects (f, g, h, i, j, k, l, m, n, p, q, r, s, t, a, b, c, d, e) are defined, illustrating vector addition and successive transformations. This activity is suitable for high school or early college students learning solid geometry, vector operations, and geometric transformations, and can be used in math labs to explore invariance of volume and surface area under translation.