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Complementary and Supplementary Angles by Yoong Kheong

Complementary and Supplementary Angles by Yoong Kheong
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2013-03-28 10:40
AngleTrigonometryGeometric Construction
In collections Logic and Parallel Lines
This example demonstrates the geometric relationships between complementary and supplementary angles through dynamic visualization, showing how two angles are either complementary (sum to 90°) or supplementary (sum to 180°). Key math concepts include angle measurement, complementary angles, and supplementary angles. Construction involves GeoGebra commands like Circle, Point, Rotate, Angle, Line, Segment, and Mirror. Suitable for middle school and high school students learning geometric angle relationships and for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Circle(O, 16) → c
  2. Point(c) → B
  3. Rotate(B, 180*°, O) → B'
  4. Angle(B, O, B') → α
  5. Line(B, B') → a
  6. Rotate(B, 90*°, O) → C
  7. Angle(B, O, C) → β
  8. Segment(O, C) → b
  9. Segment(O, D) → d
  10. Angle(B, O, D) → γ
  11. Angle(C, O, D) → δ
  12. Mirror(C, a) → C'
  13. Segment(O, C') → f
  14. Mirror(B, b) → B'_1
  15. Angle(C, O, D) → ε
  16. Angle(B'_1, O, D) → ζ
  17. Angle(B'_1, O, D) → η
  18. Angle(C', O, D) → θ
  19. Angle(C', O, D) → ι
  20. Angle(B, O, D) → κ
  21. Angle(B, O, D) → λ
  22. Angle(B'_1, O, D) → μ

AI Drawing Prompt Reference

Draw a circle with center O and radius 16, pick a point B on the circle, rotate B 180 degrees around O to get B', measure ∠BOB' and name it α, draw line BB', rotate B 90 degrees around O to get C, measure ∠BOC and name it β, draw line segment OC, draw line segment OD, measure ∠BOD and name it γ, measure ∠COD and name it δ, mirror C over line BB' to get C', draw line segment OC', mirror B over line OC to get B'_1, measure ∠COD and name it ε, measure ∠B'_1OD and name it ζ, measure ∠B'_1OD and name it η, measure ∠C'OD and name it θ, measure ∠C'OD and name it ι, measure ∠BOD and name it κ, measure ∠BOD and name it λ, measure ∠B'_1OD and name it μ.
The prompt above was compiled from the original drawing commands and is for reference only.