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Supplementary Angles Exploration

Supplementary Angles Exploration
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2022-06-08 23:52
AngleGeometric ConstructionSlider Animation
This example demonstrates the concept of supplementary angles. Key mathematical concepts include angle measurement and the properties of supplementary angles. Using GeoGebra commands such as Rotate, Angle, and Line, the formation of supplementary angles can be dynamically illustrated. Suitable for middle school and above students to learn geometry.

GeoGebra Commands & Parameters

  1. Textfield(a) → a1
  2. Textfield(b) → a2
  3. Textfield(c) → a3
  4. Textfield(d) → a4
  5. Textfield(e) → a5
  6. Textfield(f) → a6
  7. Textfield(g) → a7
  8. Textfield(h) → a8
  9. Textfield(i) → a9
  10. Rotate(C, ((-o) * π / 180), D) → C'
  11. Ray(D, C) → q
  12. Ray(D, C') → r
  13. Rotate(C', ((-((10 * h) + i)) * π / 180), D) → C''
  14. Ray(D, C'') → s
  15. Angle(C', D, C) → γ
  16. Angle(C', D, C'') → δ
  17. Mode(l1) → l2
  18. If(Length[l2] ≟ 0, "No digits repeat!", "Repeated digits exist.") → text1
  19. Line(G, r) → h_1
  20. Line(G, s) → i_1
  21. Point(h_1) → H
  22. Rotate(H, ((-((10 * h) + i)) * π / 180), G) → H'
  23. Angle(H', G, H) → ζ
  24. Ray(G, H') → j_1
  25. Ray(G, H) → k_1

AI Drawing Prompt Reference

Draw two supplementary angles, angle C and angle C', with C' obtained by rotating C counterclockwise. Then draw angle C' and angle C'', with C'' obtained by rotating C' counterclockwise. Next, draw the line between C' and C'', and the line of symmetry for C'. Then draw the symmetric point H of C' with respect to C, and the symmetric point H' of H with respect to C'. Finally, draw the line of symmetry for H' with respect to C'.
The prompt above was compiled from the original drawing commands and is for reference only.