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Triangle Dimensions

Triangle Dimensions
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2018-02-26 17:29
TriangleAngleGeometric Construction
In collections Folding paper, doing geometry figures
This example demonstrates how to construct a triangle and explore its dimensions using GeoGebra. Key mathematical concepts include the sides and angles of a triangle. Using commands like Polygon, Rotate, Segment, CircleArc, Line, AngularBisector, and Intersect, you can build and analyze the triangle. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
  2. Polygon(B, A, C, E) → vierhoek2, b_1, a_1, c_1, e
  3. Polygon(B, E, D) → driehoek1, d_1, b_2, e_1
  4. Rotate(B, (((s - 1) * 180))°, d_1) → B'
  5. Rotate(E, (((s - 1) * 180))°, d_1) → E'
  6. Rotate(D, (((s - 1) * 180))°, d_1) → D'
  7. Polygon(B', E', D') → driehoek1', d', b', e'
  8. Rotate(B, 180°, d_1) → B'_1
  9. Rotate(E, 180°, d_1) → E'_1
  10. Rotate(D, 180°, d_1) → D'_1
  11. Polygon(B'_1, E'_1, D'_1) → driehoek1'_1, d'_1, b'_1, e'_1
  12. Segment(B, E) → f
  13. Rotate(D, -90°, B) → DD
  14. CircleArc(B, DD, D) → g
  15. Segment(A, E) → h
  16. Rotate(C, -135°, E) → C'
  17. CircleArc(E, C', C, xOyPlane) → k
  18. Polygon(A, C, E) → driehoek2, e_2, a_2, c_2
  19. Rotate(A, (((s - 3) * 180))°, h) → A'
  20. Rotate(C, -180°, h) → C'_1
  21. Rotate(E, (((s - 3) * (-180)))°, h) → E'_2
  22. Polygon(A, C'_1, E) → driehoek2', p, q, t
  23. Polygon(D'_1, A, E) → driehoek3, e_3, d'_2, a_3
  24. Polygon(A, C, E, DD) → vierhoek3, i, j, l, m
  25. Line(D'_1, E) → n
  26. AngularBisector(A, B, E) → r
  27. Intersect(p, b'_1) → F
  28. Segment(F, E) → g_1
  29. Segment(DD, F) → f_1
  30. Segment(B, D) → h_1
  31. Segment(D, E) → i_1
  32. Segment(A, C) → j_1
  33. Segment(C, E) → k_1

AI Drawing Prompt Reference

Draw triangle ABC, then rotate it around point D to form new triangle D'1E'B'1. Next, draw line segment BE and rotate line segment DD'1 around point B to form arc g. Then, draw line segment AE and rotate line segment C'E' around point E to form arc k. Connect points A, C, and E to form triangle AEC'. Finally, rotate line segment BE around point A to form new triangle A'E'C', and draw line segments DD'1 and F to E.
The prompt above was compiled from the original drawing commands and is for reference only.