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Corresponding Angles Quick Investigation

Corresponding Angles Quick Investigation
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2016-11-04 02:34
AngleTransformationGeometric Construction
In collections Year 7 (Angles)
This interactive geometry applet explores the corresponding angles theorem using transformational geometry. By adjusting points, observe and verify the equality of corresponding angles. Key mathematical concepts include angles, geometric transformations, and triangles. GeoGebra commands used include point, line, rotate, angle, circle, intersect, segment, etc. Suitable for middle school and above students for geometry exploration and learning.

GeoGebra Commands & Parameters

  1. Point(y = 0) → A
  2. Line(A, B) → f
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → γ
  5. Line(A, B') → g
  6. Rotate(B', β, A) → B''
  7. Angle(B', A, B'') → δ
  8. Line(A, B'') → h
  9. Circle(A, a) → c
  10. Intersect(c, h, 2) → C
  11. Line(C, g) → i
  12. Circle(C, A) → d
  13. Circle(A, C) → e
  14. Intersect(e, h, 2) → J
  15. Segment(A, C) → j
  16. Circle(A, (0.3 * j)) → k
  17. Circle(C, (0.3 * j)) → p
  18. Intersect(h, j) → K
  19. Intersect(h, j) → L
  20. Intersect(h, j) → M
  21. Intersect(p, h) → N, O
  22. Intersect(k, h) → P, Q
  23. Intersect(g, xAxis) → R
  24. Intersect(g, xAxis) → S
  25. Intersect(k, g) → T, U
  26. Intersect(p, i, 2) → V
  27. Intersect(p, i, 1) → W
  28. CircleSector(A, U, Q) → q
  29. Circle(C, j / 2) → g_1
  30. Circle(A, j / 2) → h_1
  31. Intersect(g_1, i, 2) → D
  32. Intersect(g_1, i, 1) → E
  33. Intersect(g_1, h, 2) → H
  34. Intersect(g_1, h) → I, Z
  35. Intersect(h_1, h) → A_1, B_1
  36. Intersect(g, xAxis) → C_1
  37. Intersect(g, xAxis) → D_1
  38. Intersect(h_1, g) → E_1, F_1
  39. Point(j) → G_1
  40. Vector(A, G_1) → u
  41. Translate(q, u) → q'
  42. Segment(A, G_1) → l
  43. Ray(A, A_1) → m
  44. Ray(C, H) → n
  45. Vector(A, G_1) → v
  46. Segment(G_1, C) → s
  47. CircleArc(A, U, Q) → t