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Adjustable Triangular Prism by Ms. Muusse

Adjustable Triangular Prism by Ms. Muusse
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2018-07-01 09:38
Solid GeometryTransformationGeometric Construction
This example demonstrates a virtual and easily modifiable triangular prism to help students better understand the meaning of terms like 'total surface area'. Key mathematical concepts include the surface area calculation of a triangular prism. Using GeoGebra commands such as Point, Ray, Polygon, Vector, Translate, etc., the dimensions and shape of the prism can be dynamically adjusted. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(g) → D
  2. Ray(C, D) → f
  3. Point(f) → F
  4. Ray(A, B) → e
  5. Point(e) → E
  6. Polygon(A, F, E) → poly1, c, h, i
  7. Vector(A, C) → v
  8. Translate(B, v) → B'_2
  9. Vector(A, (0, 0, (-d))) → u
  10. Translate(poly1, u) → poly1'
  11. Translate(A, u) → A'
  12. Translate(D, u) → D'
  13. Translate(E, u) → E'
  14. Translate(F, u) → F'
  15. Polygon(E, E', F', F) → poly2, e_1, e', f', f_1
  16. OrthogonalLine(F, j, xOyPlane) → k
  17. Intersect(j, k) → G
  18. Angle(E, G, F, xOyPlane) → α
  19. Segment(F, G) → l
  20. Polygon(A', A, F, F') → poly3, a', a_1, f_2, f'_1
  21. Point(i) → H
  22. Polygon(E', E, A, A') → poly4, e'_1, e_2, a_2, a'_1
  23. Translate(F, u) → F'_1
  24. Translate(G, u) → G'
  25. Segment(F'_1, G') → l'
  26. Translate(A, u) → A'_1
  27. Translate(F, u) → F'_2
  28. Translate(F, u) → F'_3
  29. Translate(E, u) → E'_1
  30. Translate(E, u) → E'_2
  31. Translate(A, u) → A'_2