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Geometric Construction and Angle Addition Demonstration

Geometric Construction and Angle Addition Demonstration
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2015-08-26 17:45
AngleCoordinate GeometryGeometric Construction
In collections Points, Lines, Planes, and Angles Points, Lines, Planes, and Angles Geometry: Introductory Definitions, Postulates, Theorems CCSS High School: Algebra (Creating Equations) CCSS High School: Algebra (Creating Equations)
This example uses a color-coded visual to help students intuitively understand the angle addition postulate. Key mathematical concepts include angles, geometric construction, and geometric construction. The construction involves GeoGebra commands such as Ray, Circle, Intersect, etc. It is suitable for middle or high school mathematics teaching to aid understanding of geometric principles.

GeoGebra Commands & Parameters

  1. Ray(B, A) → a
  2. Ray(B, C_1) → b
  3. Ray(B, C) → c
  4. Circle(B, E) → d
  5. Intersect(d, a, 1) → F
  6. Intersect(d, b, 1) → G
  7. Intersect(d, c, 1) → H
  8. CircleArc(B, F, G) → e
  9. CircleArc(B, G, H) → f
  10. Point(e) → K
  11. Point(f) → L
  12. Ray(B, K) → g
  13. Ray(B, L) → h
  14. Angle(F, B, K) → α
  15. Angle(G, B, L) → β
  16. CircleArc(B, F, K) → k
  17. CircleArc(B, G, L) → p
  18. CircleSector(B, F, K) → q
  19. CircleSector(B, G, L) → r
  20. CircleSector(B, G, L) → s
  21. Point(g) → D
  22. Point(b) → M
  23. Point(a) → N
  24. Distance(M, N) → distanceMN
  25. Point(c) → O
  26. Distance(O, M) → distanceOM
  27. Circle(B, N) → t
  28. Intersect(t, c, 1) → P
  29. CircleArc(B, N, P) → c_1
  30. Distance(Q, R) → distanceQR
  31. Point(a) → Z
  32. Point(c) → T
  33. Textfield(i) → InputBox1
  34. Textfield(γ) → InputBox2
  35. Textfield(δ) → InputBox3