Constructing and Exploring a Triangular Prism

Constructing and Exploring a Triangular Prism
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2019-06-01 00:41
This example demonstrates the construction of a triangular prism by rotating a triangle, highlighting its geometric properties. Key math concepts include prism, rotation, incircle or inscribed circle, similar triangles, rectangle, and arithmetic operations. The construction uses commands like Vector, Point, Segment, Polygon, and Prism in GeoGebra. Suitable for high school solid geometry teaching or self-study to understand the formation and properties of spatial figures.

GeoGebra Commands & Parameters

  1. Vector((0, 21, 0)) → u
  2. Point(xAxis) → D
  3. Segment(A, B) → f
  4. Segment(C, D) → g
  5. Segment(C, A) → h
  6. Polygon(A, B, C) → t1, c, a, b
  7. Prism(t1, e) → i, H, edgeCJ, edgeHI, edgeIJ, edgeHJ, I, J, faceABIH, faceBCJI, faceACJH, faceHIJ, edgeAH, edgeBI