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The Evil Stepbrother's Geometric Construction

The Evil Stepbrother's Geometric Construction
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2017-07-04 01:37
FunctionCoordinate GeometryTransformation
In collections Algebra 1
This example demonstrates the relationship changes between stepbrothers through geometric construction. It involves linear equations, quadratic equations, and cubes as core mathematical concepts. Using GeoGebra commands such as Invert, Point, Segment, users can dynamically explore the graphs of these equations. Suitable for high school mathematics education and learning, especially for visualizing coordinate geometry and function graphs.

GeoGebra Commands & Parameters

  1. Invert((m * x) + 5) → h
  2. Point(Circle[A, 1]) → B
  3. Segment(A, B) → i
  4. Rotate(A, 40°, A) → A'
  5. Rotate(B, 40°, A) → B'
  6. Segment(A', B') → i'
  7. Mirror(A', A) → A''
  8. Mirror(B', A) → B''
  9. Segment(A'', B'') → i''
  10. Segment(B', B'') → j
  11. LineBisector(j) → k
  12. Point(k) → C
  13. Point(k) → D
  14. Segment(B', C) → l
  15. Segment(B', D) → u
  16. Segment(B'', C) → p
  17. Segment(B'', D) → q
  18. Segment(D, C) → r
  19. Polygon(A, B', C) → poly1, c_2, a_3, b'
  20. Polygon(A, B', D) → poly2, d, a_1, b'_1
  21. Polygon(A, B'', C) → poly3, c_1, a_2, b''
  22. Polygon(A, B'', D) → poly4, d_1, a_4, b''_1
  23. Segment((0, 0), (0, 5)) → t
  24. Intersect(f, f_1) → E, F
  25. Intersect(g, a) → G, H
  26. Intersect(g, b) → I, J
  27. Point(Circle[I, 1]) → K
  28. Segment(I, K) → c
  29. Point(Circle[I, 3]) → L
  30. Segment(I, L) → e
  31. Mirror(L, I) → L'
  32. Segment(L', K) → g_2
  33. Intersect(g, g_2) → M
  34. Segment(M, G) → i_1
  35. Circle(L', 1) → e_1
  36. Circle(K, 1) → p_1
  37. Segment(R, S) → j_1
  38. Textfield(P_1) → InputBox1