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Perpendicular Line Construction Quiz

Perpendicular Line Construction Quiz
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2016-05-02 00:01
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to draw perpendicular lines using GeoGebra. Key mathematical concepts include the relationship between perpendicular lines and geometric construction. Commands used include Random, Segment, Intersect, If, Line, OrthogonalLine, and LineBisector. Suitable for middle school and above students or teachers for teaching or self-practice.

GeoGebra Commands & Parameters

  1. Random(y(U), y(V)) → newby
  2. Random(x(U), x(Z)) → newbx
  3. Random(x(U), x(Z)) → newax
  4. Random(y(U), y(V)) → neway
  5. Segment(A, B) → a
  6. Segment(C, D) → b
  7. Segment(C, E) → c
  8. Segment(E, F) → d
  9. Segment(D, F) → e
  10. Segment(G, H) → f
  11. Intersect(b, c) → I
  12. Segment(G, K) → i
  13. Intersect(d, e) → L
  14. Segment(L, G) → j
  15. Intersect(c, d) → J
  16. Segment(J, G) → h
  17. If(x(H) - x(G) ≟ 0, 1000, (y(H) - y(G)) / (x(H) - x(G))) → gradblack
  18. If(x(B) - x(A) ≟ 0, 1000, (y(B) - y(A)) / (x(B) - x(A))) → gradred
  19. Line(A, M) → g
  20. OrthogonalLine(B, g) → k
  21. Segment(N, O) → l
  22. Segment(P, Q) → m
  23. Line(A, l) → n
  24. Line(B, m) → p
  25. Intersect(n, p) → R
  26. LineBisector(R, A) → q
  27. LineBisector(B, R) → r
  28. Intersect(p, r) → S
  29. Intersect(n, q) → T
  30. Segment(A, R) → s
  31. Segment(R, B) → t
  32. Segment(U, V) → a_1
  33. Segment(W, V) → b_1
  34. Segment(W, Z) → c_1
  35. Segment(U, Z) → d_1
  36. If(gradred - gradblack ≟ 0, 1, 0) → Parallel
  37. If((gradred * gradblack) ≟ -1, 1, 0) → correct