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Dilating a Prism About a Vertex

Dilating a Prism About a Vertex
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2019-05-08 03:25
PolygonSolid GeometryTransformationGeometric Construction
In collections Evaluating Statements about Dilations
This GeoGebra example demonstrates dilating a prism about a vertex, visually illustrating three-dimensional similarity transformations. Key mathematical concepts include prism volume, similarity ratios, spatial geometry, and affine transformations. Construction uses GeoGebra commands such as Polygon, Prism, Volume, Point, and defines faces and edges in 3D space. Suitable for high school and early college geometry, calculus, or computer graphics courses exploring 3D transformations and volume scaling.

GeoGebra Commands & Parameters

  1. Polygon(D, A, B, C) → q1, d, a, b, c
  2. Prism(q1, E) → e, F, edgeAF, edgeBG, edgeCH, edgeEF, edgeFG, edgeGH, edgeEH, G, H, faceADEF, faceABGF, faceBCHG, faceCDEH, faceEFGH, edgeDE
  3. Volume(e) → volumee
  4. Point(e) → Pointe