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Intersection Example 19

Intersection Example 19
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2016-03-27 07:19
FunctionTransformationGeometric Construction
This example demonstrates how to find intersections using geometric transformations and function graphs. Key concepts include functions, reflection, tangent lines, and the unit circle. Using commands like Polygon, Point, Line, and Intersect, complex geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(c) → D
  3. Line(D, a) → d
  4. Line(D, b) → e
  5. Intersect(d, b) → E
  6. Intersect(e, a) → F
  7. Line(E, c) → f
  8. Line(F, c) → g
  9. Intersect(g, b) → G
  10. Intersect(f, a) → H
  11. Line(H, b) → h
  12. Line(G, a) → i
  13. Intersect(c, h) → I
  14. Segment(D, E) → j
  15. Segment(E, H) → k
  16. Segment(H, I) → l
  17. Segment(I, G) → m
  18. Segment(G, F) → n
  19. Segment(F, D) → p
  20. Intersect(p, k) → J
  21. Intersect(m, k) → K
  22. Intersect(p, m) → L
  23. Incircle(I, K, H) → q
  24. Incircle(L, G, F) → r
  25. Incircle(D, E, J) → s
  26. Center(s) → M
  27. Center(q) → N
  28. Center(r) → O
  29. Line(A, M) → t
  30. Line(B, N) → a_1
  31. Line(C, O) → b_1
  32. Intersect(b_1, t) → P