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Area Problem 02

Area Problem 02
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2018-10-31 03:38
PolygonTransformationGeometric Construction
This example demonstrates how to solve the area of a specific polygon using geometric transformations. Key mathematical concepts include geometric transformations, special points, equations, and numbers. Using GeoGebra commands such as Point, Segment, Polygon, Midpoint, etc., complex geometric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 12]) → B
  2. Segment(A, B) → f
  3. Polygon(A, B, 4) → polygon1, g, h, i, j, C, D
  4. Midpoint(j) → E
  5. Segment(E, D) → k
  6. Point(k) → F
  7. Circle(D, F) → c
  8. Intersect(c, i, 1) → G
  9. Polygon(G, F, 4) → polygon2, l, m, n, p, H, I
  10. Point(n) → J
  11. Segment(J, B) → q
  12. Line(H, I) → a
  13. Circle(B, Distance[B, J] / 3) → d
  14. Intersect(d, q, 1) → K
  15. Line(K, a) → r
  16. Midpoint(J, K) → L
  17. LineBisector(K, J) → s
  18. AngularBisector(q, s) → t, b
  19. Intersect(a, t) → M
  20. Intersect(a, b) → N
  21. Intersect(t, r) → O
  22. Intersect(b, r) → P
  23. Polygon(O, P, 4) → polygon3, e, f_1, g_1, h_1, Q, R
  24. Polygon(O, P, G, F) → q1, o, p_1, g_2, f_2
  25. PointIn(q1) → Punktq1