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Exploring ASA Theorem by ryanmurphy

Exploring ASA Theorem by ryanmurphy
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2018-11-01 06:07
TriangleAngleVectorGeometric Construction
This example demonstrates the construction of a triangle using two angles and the included side, illustrating key math concepts like angles, sides, triangle construction, and geometric drawing. It utilizes commands such as Polygon, Circle, Point, Segment, Intersect, Ray, Angle, Distance in GeoGebra for precise construction, suitable for high school mathematics education and geometric construction skill development.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Circle(A', Segment[B, A]) → d
  3. Point(d) → B'
  4. Segment(A', B') → e
  5. Point(c) → D
  6. Point(b) → E
  7. Circle(A', Segment[E, A]) → f
  8. Circle(A', Segment[D, A]) → g
  9. Intersect(g, e, 1) → F
  10. Circle(F, Segment[E, D]) → h
  11. Intersect(f, h, 1) → G
  12. Ray(A', G) → i
  13. Point(i) → C'_2
  14. Segment(A', C'_2) → j
  15. Point(a) → I
  16. Point(c) → J
  17. Circle(B', Segment[I, B]) → k
  18. Circle(B', Segment[J, B]) → p
  19. Intersect(p, e, 1) → K
  20. Circle(K, Segment[I, J]) → q
  21. Intersect(k, q, 2) → L
  22. Ray(B', L) → l
  23. Point(l) → C'_1
  24. Segment(C'_1, B') → m
  25. Intersect(j, m) → C'
  26. Angle(B, A, C) → α
  27. Angle(A, C, B) → β
  28. Angle(C, B, A) → γ
  29. Angle(A', C', B') → ε
  30. Distance(c, b) → n
  31. Distance(B', A') → distanceB'A'
  32. Distance(A', C') → distanceA'C'
  33. Distance(C', B') → distanceC'B'
  34. Angle(C'_1, B', A') → δ
  35. Angle(B', A', C'_2) → ζ
  36. Polygon(A', B', C') → poly2, c', a', b'