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Checking Solutions to Equations

Checking Solutions to Equations
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2020-01-13 05:04
Geometric ConstructionGraphing
This example demonstrates how to verify the solutions of an equation using graphical methods. Core math concepts include equation solutions, geometric validation, and linear equations. It is constructed using commands like Segment, Point, OrthogonalLine, Intersect, and Vector. Suitable for middle school students and above for learning solution verification techniques and for educational purposes.

GeoGebra Commands & Parameters

  1. Segment(D_1, F_1) → i_1
  2. Point(i_1) → H_1
  3. Segment(D_2, F_2) → i_2
  4. Point(i_2) → H_2
  5. Segment(D_3, F_3) → i_3
  6. Point(i_3) → H_3
  7. Segment(D_4, F_4) → i_4
  8. Point(i_4) → H_4
  9. Segment(D_5, F_5) → i_5
  10. Point(i_5) → H_5
  11. Point(i_2) → C
  12. OrthogonalLine(C, i_2) → f
  13. Point(i_2) → H
  14. OrthogonalLine(H, i_2) → g
  15. Point(i_5) → I
  16. Segment(C, I) → h
  17. Intersect(g, i_5) → J
  18. Segment(J, H) → i
  19. Segment(D_6, F_6) → i_6
  20. Point(i_6) → H_6
  21. Point(i_6) → C_1
  22. Point(i_6) → H_7
  23. Segment(D_7, F_7) → i_7
  24. Point(i_7) → H_8
  25. Point(i_7) → C_2
  26. Point(i_7) → H_9
  27. Segment(D_8, F_8) → i_9
  28. Point(i_9) → H_{12}
  29. Segment(D_9, F_9) → i_{10}
  30. Point(i_{10}) → H_{11}
  31. Point(i_9) → C_3
  32. Point(i_9) → H_{10}
  33. OrthogonalLine(H_{10}, i_9) → g_1
  34. Point(i_{10}) → I_1
  35. Intersect(g_1, i_{10}) → J_1
  36. Segment(D_6, D_7) → j
  37. Segment(F_7, F_6) → k
  38. Segment(D_{10}, F_{10}) → i_8
  39. Point(i_8) → H_{13}
  40. Point(i_8) → C_4
  41. Point(i_8) → H_{14}
  42. Segment(D_{11}, F_{11}) → i_{11}
  43. Point(i_{11}) → H_{15}
  44. Point(i_{11}) → C_5
  45. Point(i_{11}) → H_{16}
  46. Segment(F_{10}, F_{11}) → l
  47. Segment(D_{10}, D_{11}) → m
  48. Segment(K, L) → p
  49. Segment(K, L) → q
  50. OrthogonalLine(K, p) → r
  51. OrthogonalLine(L, p) → s
  52. Point(r) → M
  53. Point(s) → N
  54. Segment(M, N) → t
  55. Segment(M, K) → a
  56. Segment(N, L) → b
  57. Vector(O, P) → u