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Midline of a Rectangle

Midline of a Rectangle
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2023-03-18 21:16
PolygonVectorGeometric Construction
In collections geometriadinamica.es
This example illustrates the midline property of a rectangle. Key mathematical concepts include midline and properties of rectangles. Construction highlights: uses GeoGebra commands Sequence, Ray, Point, Mirror, OrthogonalLine, Intersect, Polygon, etc. Suitable for junior high school geometry education.

GeoGebra Commands & Parameters

  1. Sequence(((10 * i) - 5, 1), i, 1, n) → L2
  2. Sequence(((10 * i) - 5, 0), i, 1, n) → L1
  3. Ray(Element[L1, 12], Element[L2, 12]) → l
  4. Point(l) → L
  5. Ray(Element[L1, 11], Element[L2, 11]) → k
  6. Point(k) → K
  7. Ray(Element[L1, 10], Element[L2, 10]) → j
  8. Point(j) → J
  9. Ray(Element[L1, 9], Element[L2, 9]) → i
  10. Point(i) → I
  11. Ray(Element[L1, 8], Element[L2, 8]) → h
  12. Point(h) → P8
  13. Ray(Element[L1, 7], Element[L2, 7]) → g
  14. Point(g) → P7
  15. Ray(Element[L1, 6], Element[L2, 6]) → f
  16. Point(f) → P6
  17. Ray(Element[L1, 5], Element[L2, 5]) → e
  18. Point(e) → P5
  19. Ray(Element[L1, 4], Element[L2, 4]) → d
  20. Point(d) → P4
  21. Ray(Element[L1, 3], Element[L2, 3]) → c
  22. Point(c) → P3
  23. Ray(Element[L1, 2], Element[L2, 2]) → b
  24. Point(b) → P2
  25. Ray(Element[L1, 1], Element[L2, 1]) → a
  26. Point(a) → P1
  27. Mirror(M, P1) → N
  28. OrthogonalLine(N, xAxis) → p
  29. OrthogonalLine(M, xAxis) → q
  30. Intersect(p, xAxis) → O
  31. Intersect(q, xAxis) → P
  32. Polygon(M, N, O, P) → poly1, r, s, t, a1
  33. rectángulo(I, m) → poly9, k2, l2, m2, n2
  34. Polygon(Q, S, R) → poly13, m_1, h3, i3
  35. Herramienta2(P2, m) → poly2, b1, c1, d1, e1
  36. Herramienta2(P3, m) → poly3, f1, g1, h1, i1
  37. Herramienta2(P4, m) → poly4, j1, k1, l1, m1
  38. Herramienta2(P5, m) → poly5, n1, p1, q1, r1
  39. Herramienta2(P6, m) → poly6, s1, t1, a2, b2
  40. Herramienta2(P7, m) → poly7, c2, d2, e2, f2
  41. Herramienta2(P8, m) → poly8, g2, h2, i2, j2
  42. Polygon(D, C, B, A) → poly10, d_1, c_1, b_1, a_1
  43. Vector(E, F) → u
  44. Vector(F, E) → v

AI Drawing Prompt Reference

Draw a diagram of the midline of a rectangle. First, draw the four vertices of the rectangle. Then, construct a diagonal line perpendicular to the rectangle. Next, find the center point of the rectangle and draw two symmetric line segments from the center. Finally, show the intersection points of these segments with the rectangle to illustrate the midline property.
The prompt above was compiled from the original drawing commands and is for reference only.