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Dilate a Prism about its Base

Dilate a Prism about its Base
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2019-05-08 03:53
Solid GeometryTransformationGeometric Construction
In collections Evaluating Statements about Dilations
This example demonstrates how to dilate a prism about its base. Key mathematical concepts include transformations in solid geometry. Using GeoGebra commands such as Polygon, Prism, and Volume, the example constructs a prism and observes changes in its volume. Suitable for high school students studying solid geometry transformations.

GeoGebra Commands & Parameters

  1. Polygon(B, C, E, D) → q1, b, c, e, d
  2. Prism(q1, A) → a, F, edgeCF, edgeEG, edgeDH, edgeAF, edgeFG, edgeGH, edgeAH, G, H, faceABCF, faceCEGF, faceDEGH, faceABDH, faceAFGH, edgeAB
  3. Volume(a) → volumea
  4. Point(a) → Pointa

AI Drawing Prompt Reference

Draw a prism and then dilate it around its base. First, draw a quadrilateral as the base, then construct a prism with this quadrilateral as the base, and observe the change in volume.
The prompt above was compiled from the original drawing commands and is for reference only.