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Kayla Flyte - Rhombus, Square, Trapezoid

Kayla Flyte - Rhombus, Square, Trapezoid
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2016-03-09 22:05
PolygonAngleVectorGeometric Construction
This GeoGebra example demonstrates the geometric properties of a rhombus, square, and trapezoid. It involves key mathematical concepts such as polygons, angles, and vectors. By using commands like Circle, Point, Intersect, Segment, Angle, OrthogonalLine, Distance, Line, and Slope, users can visually understand the construction of these shapes. Suitable for middle and high school students learning geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Circle(A, 6.4) → c
  2. Point(c) → B
  3. Circle(B, 6.4) → d
  4. Intersect(c, d, 2) → C
  5. Intersect(c, d, 1) → D
  6. Segment(D, A) → a
  7. Segment(A, C) → b
  8. Segment(B, C) → e
  9. Segment(D, B) → f
  10. Angle(A, D, B) → α
  11. Angle(B, C, A) → β
  12. Angle(C, A, D) → γ
  13. Angle(D, B, C) → δ
  14. Circle(E, 7) → g
  15. Point(g) → F
  16. Circle(F, 7) → h
  17. Segment(E, F) → i
  18. OrthogonalLine(E, i) → j
  19. OrthogonalLine(F, i) → k
  20. Intersect(h, k, 1) → G
  21. Intersect(g, j, 1) → H
  22. OrthogonalLine(G, k) → l
  23. Distance(E, H) → distanceEH
  24. Distance(F, G) → distanceFG
  25. Distance(G, H) → distanceGH
  26. Distance(E, F) → distanceEF
  27. Circle(I, 8) → p
  28. Point(p) → J
  29. Point(p) → K
  30. Segment(J, K) → m
  31. Segment(I, K) → n
  32. Segment(I, J) → q
  33. Point(q) → L
  34. Line(L, m) → r
  35. Intersect(r, n) → M
  36. Slope(n) → m_1
  37. Slope(n) → m_2
  38. Slope(r) → m_3
  39. Slope(m) → m_4