Square Base Pyramid

Square Base Pyramid
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2017-05-14 22:31
This example demonstrates the geometric construction and properties of a square base pyramid. It involves core mathematical concepts such as polygons, solid geometry, angle measurement, and geometric construction. Key GeoGebra commands and objects used in the construction include Polygon, Intersect, Point, Segment, Line, Angle, and PointIn. It is suitable for high school students learning solid geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, D, C, B) → poly1, a, d, c, b
  2. Intersect(xAxis, zAxis) → E
  3. Point(zAxis) → F
  4. Segment(H, G) → f
  5. Polygon(B, G, C) → poly2, c_1, b_1, g
  6. Polygon(G, C, D) → poly3, d_1, g_1, c_2
  7. Polygon(D, A, G) → poly4, g_2, d_2, a_1
  8. Polygon(G, A, B) → poly5, b_2, g_3, a_2
  9. Segment(E, H) → h
  10. Point(g_2) → I
  11. Segment(H, I) → i
  12. Line(I, H) → j
  13. Intersect(g, j) → K
  14. Angle(K, H, G) → β
  15. Point(f) → J
  16. PointIn(poly1) → Pointpoly1