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Faces, Edges, and Vertices of a Triangular Pyramid

Faces, Edges, and Vertices of a Triangular Pyramid
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2020-05-28 08:02
TrianglePolygonSolid GeometryGeometric ConstructionSlider Animation
This example demonstrates the unfolding of a triangular pyramid through a slider to help students understand strategies for counting faces, edges, and vertices. Key mathematical concepts include polygon construction. GeoGebra commands used include Polygon, Intersect, and Translate. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → O
  2. Polygon(A, B, D) → poly1, d, a, b
  3. Polygon(A, D, C) → poly2, c, a_1, d_1
  4. Polygon(D, C, B) → poly3, b_1, d_2, c_1
  5. Polygon(A, B, C) → poly4, c_2, a_2, b_2
  6. Midpoint(b_1) → E
  7. Midpoint(c_2) → F
  8. Translate(poly1, u) → poly1'
  9. Translate(poly2, e) → poly2'
  10. Translate(poly3, w) → poly3'
  11. Translate(poly4, f) → poly4'