Girl in the Mirror by GeoGebra Materials Team (2)

Girl in the Mirror by GeoGebra Materials Team (2)
Loading the math board and drawing, please wait…
2013-05-10 22:24
This example demonstrates how to explore the relationship between mirror size and viewing one's full body using GeoGebra. It involves core math concepts like reflection, similar triangles, and similarity transformations. Construction uses commands such as Point, Intersect, Segment, OrthogonalLine, Line, Mirror, Angle, Polygon. Suitable for high school mathematics education, focusing on the application of similar triangles in real-world problems.

GeoGebra Commands & Parameters

  1. Point(yAxis) → F
  2. Intersect(xAxis, yAxis) → B_2
  3. Segment(B_2, F) → b
  4. Intersect(b, g) → A
  5. OrthogonalLine(L, b) → i
  6. Intersect(b, i) → B
  7. OrthogonalLine(C, b) → e
  8. Point(e) → I
  9. Point(e) → J
  10. Segment(J, I) → h
  11. Point(h) → H
  12. Intersect(c, i) → M
  13. Line(B_1, B_2) → d
  14. OrthogonalLine(B_1, d) → f
  15. Mirror(pic1, b) → pic2
  16. Mirror(H, b) → D
  17. OrthogonalLine(E, b) → a
  18. Intersect(a, c) → G
  19. Intersect(g, c) → K
  20. Mirror(M, b) → N
  21. Mirror(K, b) → O
  22. Segment(G, O) → j
  23. Segment(G, N) → k
  24. Intersect(b, j) → A'
  25. Intersect(b, k) → B'
  26. Angle(B', G, A') → α
  27. Segment(A', B') → l
  28. Segment(G, B') → p
  29. Segment(B', M) → q
  30. OrthogonalLine(B', b) → r
  31. Point(r) → P
  32. Angle(M, B', B) → β
  33. Angle(A', B', G) → γ
  34. Intersect(j, b) → Q
  35. Segment(G, Q) → a1
  36. Segment(K, Q) → b1
  37. OrthogonalLine(G, b) → c1
  38. Intersect(g, j) → R
  39. OrthogonalLine(R, c1) → d1
  40. Point(b) → U
  41. Intersect(b, d) → V
  42. Polygon(U, S, T, V) → poly1, u_1, s_1, t_1, v_1

AI Drawing Prompt Reference

Draw a symmetric mirror scene showing how a person views their full body through different-sized mirrors. Include a horizontal segment and a vertical segment intersecting at a point, with reflections and similar triangles to construct mirror effects, labeling key angles and segments to illustrate the mathematical principles of reflection and similarity transformations.
The prompt above was compiled from the original drawing commands and is for reference only.