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Projection onto Parallel Plane

Projection onto Parallel Plane
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2020-04-26 09:07
FunctionCoordinate GeometryTransformation
This interactive example demonstrates the enlargement and reduction of an image. Key mathematical concepts include similarity transformation. Using GeoGebra commands such as PointIn, Polygon, Line, etc., the projection onto a parallel plane is constructed. Suitable for middle school students learning similarity and geometric construction.

GeoGebra Commands & Parameters

  1. PointIn(p) → A
  2. PointIn(p) → B
  3. PointIn(p) → C
  4. PointIn(p) → D
  5. PointIn(p) → E
  6. Polygon(A, B, C, D, E) → poly1, a_1, b, c, d, e
  7. Line(P, B) → f
  8. Line(P, A) → g
  9. Line(P, C) → h
  10. Line(P, E) → i
  11. Line(P, D) → j
  12. Intersect(i, eq1) → F
  13. Intersect(f, eq1) → H
  14. Intersect(h, eq1) → I
  15. Intersect(j, eq1) → J
  16. Segment(P, H) → m
  17. Segment(P, I) → n
  18. Segment(P, J) → r
  19. Segment(P, F) → l
  20. Intersect(g, eq1) → G
  21. Polygon(F, G, H, I, J) → poly2, f_1, g_1, h_1, i_1, j_1
  22. Segment(P, G) → k
  23. Segment(A, P) → q
  24. Segment(P, B) → s
  25. Segment(C, P) → t
  26. Segment(P, D) → k_1
  27. Segment(P, E) → l_1