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Right Triangular Prism: Anatomy Exploration

Right Triangular Prism: Anatomy Exploration
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2017-08-07 09:44
TriangleVectorSolid GeometryGeometric Construction
In collections Surface Area
This example demonstrates the anatomy of a right triangular prism, showcasing key vocabulary terms associated with it. It involves core mathematical concepts such as solid geometry, triangles, and vectors. The construction utilizes GeoGebra commands and objects like Rotate, Angle, Ray, Point, Segment, Polygon, Vector, Translate, and Intersect. Suitable for high school and above students learning solid geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Rotate(B, (ANGLE * π / 180), A) → B'
  2. Angle(B, A, B') → α
  3. Ray(A, B') → f
  4. Point(f) → C
  5. Segment(A, B) → g
  6. Segment(C, B) → h
  7. Polygon(A, B, C) → poly1, c, a_1, b_1
  8. Segment(A, D) → i
  9. Vector(A, D) → u
  10. Translate(A, u) → A'
  11. Translate(B, u) → B'_1
  12. Translate(C, u) → C'
  13. Polygon(A', B'_1, C') → poly1', c', a', b'_1
  14. Segment(C', A') → j
  15. Segment(A', B'_1) → k
  16. Segment(B'_1, C') → l
  17. Polygon(A', A, C, C') → poly2, a'_1, a_2, c_1, c'_1
  18. Segment(B, B'_1) → m
  19. Segment(C', C) → n
  20. Intersect(m, k) → E
  21. Polygon(B, B'_1, C', C) → poly3, b_2, b'_2, c'_2, c_2
  22. Polygon(A', B'_1, B, A) → poly4, a'_2, b'_3, b_3, a_3
  23. Segment(A, C) → p