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Draw Angles

Draw Angles
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2023-12-20 17:32
AngleGeometric ConstructionSlider Animation
In collections Wiederholung Winkel: Bezeichnung, Arten, Messen & Zeichnen
This example demonstrates how to draw angles using GeoGebra. Key math concepts include the definition and drawing methods of angles. Commands like CountIf, Textfield, Sequence, Join are used. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. CountIf(m ≟ true, m, {path1, path2, path3}) → numselected
  2. Textfield(input1) → Eingabefeld1
  3. Textfield(input2) → Eingabefeld2
  4. Sequence((Random[5, 17] * 5), m, 1, 110) → randomNosAlpha1, {50, 85, 35, 45, 65, 70, 80, 80, 70, 50, 30, 60, 45, 35, 40, 65, 75, 60, 50, 70, 55, 70, 65, 45, 45, 65, 85, 80, 25, 35, 75, 80, 70, 75, 35, 70, 30, 65, 60, 70, 30, 55, 55, 75, 70, 65, 85, 85, 60, 45, 80, 30, 65, 35, 55, 65, 70, 65, 35, 55, 50, 80, 85, 40, 50, 55, 45, 25, 45, 70, 30, 30, 65, 35, 80, 45, 65, 30, 30, 60, 75, 75, 45, 70, 45, 80, 35, 55, 35, 45, 25, 25, 65, 65, 50, 35, 55, 40, 85, 40, 75, 30, 30, 35, 65, 40, 65, 45, 50, 40}
  5. Join(Sequence[Shuffle[{1, 2, 3, 4, 5}], m, 1, 10]) → randomWinkelNameNum
  6. Point(Line[S1, xAxis]) → S2
  7. Intersect(Rotate[Line[S1, S2], alpha1°, S1], Line[S2, S3]) → P1
  8. Segment(S1, S2) → f
  9. Rotate(S2, alpha1°, S1) → P1b
  10. Segment(S1, P1b) → g
  11. Angle(S2, S1, P1) → walpha1z
  12. Rotate(S1 + (1, 0), walpha1 / 2, S1) → SB
  13. RandomElement({1, 2, 3} \ {selected1, selected2}) → selected3
  14. Sequence((Random[19, 35] * 5), m, 1, 110) → randomNosAlpha2, {100, 130, 100, 170, 105, 155, 145, 160, 165, 140, 135, 165, 95, 160, 110, 165, 175, 105, 125, 140, 170, 170, 95, 110, 175, 110, 150, 105, 115, 110, 105, 100, 170, 130, 105, 140, 100, 95, 100, 165, 130, 125, 110, 130, 135, 170, 150, 170, 150, 165, 100, 100, 145, 135, 110, 100, 160, 100, 140, 160, 125, 170, 130, 155, 165, 110, 115, 135, 115, 95, 105, 175, 105, 150, 135, 155, 120, 145, 105, 165, 140, 160, 160, 95, 150, 130, 175, 100, 160, 105, 100, 150, 160, 125, 100, 120, 170, 150, 140, 155, 145, 100, 160, 125, 165, 105, 100, 160, 130, 150}
  15. RandomElement({1, 2, 3, 4, 5} \ {winkelNameNum1}) → winkelNameNum2
  16. RandomElement({1, 2, 3, 4, 5} \ {winkelNameNum1, winkelNameNum2}) → winkelNameNum3
  17. Intersect(Rotate[Line[R1, R2], alpha2°, R1], Line[R2, R3]) → Q1
  18. Rotate(R2, (alpha2 - 180)°, R1) → Q1b
  19. Segment(R1, Q1b) → i
  20. Segment(R4, R1) → h
  21. Angle(R4, R1, Q1) → walpha2z
  22. Rotate(R1 + (1, 0), (alpha2 * ° / 2), R1) → RB
  23. Point(Line[T1, xAxis]) → T2
  24. Intersect(Rotate[Line[T1, T2], helpalpha3°, T1], Line[T3, If[spitz3, T2, T4]]) → V1
  25. Segment(T1, T2) → j
  26. Segment(T1, V1b) → k
  27. Angle(T2, T1, V1b) → walpha3z
  28. Rotate(T1 + (1, 0), walpha3z / 2, T1) → TB
  29. Angle(V1b, T1, T2) → α
  30. Element({selected1, selected2, selected3}, runde) → selected
  31. Point(Line[C, xAxis]) → D
  32. SpeechBubbleLeft(E, 11.1, 3.1) → Vieleck1
  33. SpeechBubbleLeft(E, 7.7, 2.15) → Vieleck2
  34. SpeechBubbleLeft(E, 8.5, 1.6) → Vieleck3
  35. SpeechBubbleLeft(E, 8.1, 2.7) → Vieleck4

AI Drawing Prompt Reference

Draw a geometric angle construction example with a dynamic angle controlled by a slider, showing the angle value. Illustrate the construction process including rotating line segments and intersection points, with different colors for key parts. The final image should feature multiple angle examples, each labeled with a number, demonstrating the diversity of angle constructions.
The prompt above was compiled from the original drawing commands and is for reference only.