MathPlotAI Logo MathPlotAI

Special Cases of Deltoid

Special Cases of Deltoid
Loading the math board and drawing, please wait…
2023-10-27 15:39
PolygonTransformationGeometric Construction
In collections Deltoid - Eigenschaften und Konstruktionen
This example demonstrates the special cases of a deltoid, involving the properties of special quadrilaterals. Using GeoGebra commands such as Spline, SpeechBubbleRight, Segment, Point, and Line, students can understand the definition and relationship of a deltoid with a square, rectangle, parallelogram, and rhombus. Suitable for 5-6th grade students to learn and apply the properties of special quadrilaterals.

GeoGebra Commands & Parameters

  1. Spline({SplineAnchor_1, SplineAnchor_2, SplineAnchor_3, SplineAnchor_4}, 3) → SplineAnim
  2. SpeechBubbleRight(SpeechAnchor_1, 6, 1.8) → Vieleck1
  3. Segment(MD + (0, 0.5), DMax4) → SergeantCross1
  4. Segment(MD + (0.5, 0), DMax3) → SergeantCross4
  5. Segment(MD - (0, 0.5), DMax2) → SergeantCross3
  6. Segment(MD + (-0.5, 0), DMax1) → SergeantCross2
  7. Point(SergeantCross1) → DE4
  8. Point(SergeantCross3) → DE2
  9. Point(SergeantCross2) → DE1
  10. Line(DMax4, DMax2) → blackmirror
  11. Point(SergeantCross4) → DE3
  12. Segment(DE1, DE4) → DSeite4
  13. Segment(DE4, DE3) → DSeite3
  14. Segment(DE3, DE2) → DSeite2
  15. Segment(DE2, DE1) → DSeite1
  16. SelectedIndex(DropDown1) → Index1
  17. Segment(DE2, DE4) → dia2
  18. Segment(DE1, DE3) → dia1
  19. Textfield(input1) → InputBox1
  20. SelectedIndex(DropDown2) → Index2
  21. SelectedIndex(DropDown3) → Index3
  22. SelectedIndex(DropDown4) → Index4
  23. SelectedIndex(DropDown5) → Index5
  24. SelectedElement(DropDown2) → SelectedElementD2
  25. SelectedElement(DropDown3) → SelectedElementD3
  26. SelectedElement(DropDown4) → SelectedElementD4
  27. SelectedIndex(DropDown6) → Index6
  28. Textfield(input2) → InputBox2
  29. SelectedElement(DropDown5) → SelectedElementD5
  30. SelectedElement(DropDown6) → SelectedElementD6
  31. Circle(CMDelt, 1) → c
  32. Circle(CMSquare, 1) → e
  33. Circle(CMRaut, 1) → f
  34. Midpoint(Corner[Bild6, 1], Corner[Bild6, 3]) → Inv1Pos
  35. Midpoint(Corner[Bild7, 1], Corner[Bild7, 3]) → Inv2Pos
  36. Midpoint(Corner[Bild8, 1], Corner[Bild8, 3]) → Inv3Pos
  37. Midpoint(DE3, DE2) → BeschcAnchor
  38. Intersect(dia1, dia2) → F
  39. Angle(DE4, F, DE1) → ε_{1}
  40. Angle(DE1, DE4, DE3) → ζ
  41. Angle(DE4, DE3, DE2) → DELTA
  42. Angle(DE3, DE2, DE1) → θ
  43. Angle(DE2, DE1, DE4) → ε
  44. If(step ≟ 7 ∨ step ≟ 9, 450, 494) → posxsol
  45. If(step ≟ 7 ∨ step ≟ 9, 285, 143) → posysol
  46. SpeechBubbleRight(J, 11, 6) → Vieleck3
  47. SpeechBubbleRight(M, 8, 2) → Vieleck4
  48. SpeechBubbleRight(N, 8.2, 3) → Vieleck2
  49. SpeechBubbleRight(O, 12, 1) → Vieleck5
  50. Circle(CMPara, 1) → d
  51. Circle(CMGene, 1) → g
  52. Angle(DE1, DE4, DE3) → winkelshow1
  53. Angle(DE2, DE1, DE4) → winkelshow2
  54. Angle(DE3, DE2, DE1) → winkelshow3
  55. Angle(DE4, DE3, DE2) → winkelshow4
  56. Segment(P_1, P_1 + (0, lArrow)) → l
  57. Segment(DE2 + (0, 0.25), DE2 + (0, 0.65)) → h
  58. Rotate(Segment[DE2 + (0, 0.25), DE2 + (0, 0.65)], 90°, DE2) → i
  59. Rotate(Segment[DE2 + (0, 0.25), DE2 + (0, 0.65)], 180°, DE2) → j
  60. Rotate(Segment[DE2 + (0, 0.25), DE2 + (0, 0.65)], 270°, DE2) → k
  61. SelectedIndex(DropDown7) → Index7
  62. SelectedIndex(DropDown8) → Index8
  63. SelectedIndex(DropDown9) → Index9
  64. SpeechBubbleRight(S_1, 12, 1) → Vieleck6
  65. SpeechBubbleRight(T_1, 11.5, 1.5) → Vieleck7
  66. SpeechBubbleRight(T_1, 11.5, 1.5) → Vieleck8
  67. SpeechBubbleRight(U_1, 11.5, 1.5) → Vieleck9
  68. SpeechBubbleRight(V_1, 12, 1.5) → Vieleck10
  69. SpeechBubbleRight(V_1, 12, 1.5) → Vieleck11
  70. Rotate(Segment[DE4 + (0, 0.25), DE4 + (0, 0.65)], 90°, DE4) → m
  71. Rotate(Segment[DE4 + (0, 0.25), DE4 + (0, 0.65)], 180°, DE4) → n
  72. Rotate(Segment[DE4 + (0, 0.25), DE4 + (0, 0.65)], 270°, DE4) → p
  73. Rotate(Segment[DE4 + (0, 0.25), DE4 + (0, 0.65)], 0°, DE4) → q
  74. Point(SergeantCross3) → SolC1
  75. Circle(SolC1, tol) → VC1
  76. Point(SergeantCross1) → SolA
  77. Point(SergeantCross3) → SolC2
  78. Circle(SolC2, tol) → VC2
  79. Circle(SolA, tol) → VC3

AI Drawing Prompt Reference

Create an educational geometry diagram showing special cases of a deltoid (kite). In the center, construct a deltoid shape formed by connecting four vertices with four sides and two intersecting diagonals inside. Mark the intersection point of the diagonals and display angle measurement symbols at several interior angles. Add speech bubbles around the deltoid labeling different special quadrilaterals such as square, rectangle, parallelogram, and rhombus to illustrate the relationship between the deltoid and these shapes. Include several circles of different radii and auxiliary points and line segments showing the geometric construction process. The layout should be clear and suitable for middle school students to understand properties of special quadrilaterals and their connection to the deltoid.
The prompt above was compiled from the original drawing commands and is for reference only.