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Angle Addition - Problem 2

Angle Addition - Problem 2
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2016-09-22 22:36
CircleAngleGeometric Construction
In collections Angle Addition Problems
This applet uses a simple color-coded visual to guide students to naturally apply the angle addition postulate. It involves concepts of angles and circles, using commands like Ray, Circle, Intersect, CircleArc, Point, Angle, etc. Suitable for middle school and above students to learn the angle addition postulate.

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

AI Drawing Prompt Reference

Draw a point B as the center, and draw three rays a, b, and c from B. Draw a circle d with B as the center, and let it intersect rays a, b, and c at points F, G, and H respectively. Draw an arc e with F and G as endpoints, and draw an arc f with G and H as endpoints. Choose a point K on arc e and a point L on arc f. Draw rays g and h from B through K and L respectively. Label ∠FBK as α and ∠GBL as β. Draw sectors k and p with arcs e and f as their bases. Draw segments q and r with arcs e and f as their bases. Draw rays g and h from B through K and L respectively. Label ∠FBK as α and ∠GBL as β. Draw sectors k and p with arcs e and f as their bases.
The prompt above was compiled from the original drawing commands and is for reference only.