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The Drag Test

The Drag Test
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2015-01-16 20:11
Coordinate GeometryInequalityGeometric Construction
In collections Intro-Book 1: Basic Geometric Constructions
This example demonstrates how to differentiate between drawn and constructed shapes using the Drag Test. Core math concepts include coordinate geometry, inequalities, and polygon construction. It utilizes commands like Ray, Point, Polygon, Segment, OrthogonalLine, Circle, Intersect, and Line in GeoGebra. Suitable for high school students learning geometric constructions and analytical geometry.

GeoGebra Commands & Parameters

  1. Ray(M, U) → d1
  2. Point(d1) → V
  3. Polygon(A, B, C, D) → SquareA, a, b, c, d
  4. Segment(E, F) → e
  5. OrthogonalLine(F, e) → f
  6. Circle(F, E) → g
  7. Intersect(g, f, 2) → G
  8. OrthogonalLine(G, f) → h
  9. OrthogonalLine(E, e) → i
  10. Intersect(h, i) → H
  11. Polygon(E, F, G, H) → SquareB, e_1, f_1, g_1, h_1
  12. Segment(I, J) → j
  13. Circle(I, J) → k
  14. Circle(J, I) → p
  15. OrthogonalLine(I, j) → l
  16. OrthogonalLine(J, j) → m
  17. Intersect(p, m, 2) → K
  18. Intersect(k, l, 2) → L
  19. Polygon(I, J, K, L) → SquareF, i_1, j_1, k_1, l_1
  20. Segment(M, V) → n
  21. OrthogonalLine(M, n) → s
  22. Segment(Q, R) → t
  23. Segment(Q, S) → a1
  24. Line(S, t) → b1
  25. Line(R, a1) → c1
  26. Intersect(b1, c1) → T
  27. Polygon(Q, R, T, S) → SquareD, q_1, r_1, t_1, s_1
  28. OrthogonalLine(V, d1) → q
  29. Point(q) → N
  30. OrthogonalLine(N, q) → r
  31. OrthogonalLine(M, n) → e1
  32. Intersect(r, e1) → O
  33. Polygon(M, V, N, O) → SquareC, m_1, v, n_1, o
  34. Segment(P, W) → f1
  35. Line(A1, f1) → h1
  36. Point(h1) → B1
  37. Polygon(P, W, B1, A1) → SquareE, p_1, w, b1_1, a1_1