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Angle Addition Demo: Adjacent Angles and Angles at a Point

Angle Addition Demo: Adjacent Angles and Angles at a Point
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2012-12-19 12:29
AngleSequenceGeometric ConstructionSlider Animation
① This example demonstrates the construction of adjacent angles on a straight line and the addition of multiple angles at a single point, visually illustrating the additive property of angles. ② Core mathematical concepts include the definition of an angle, adjacent angles, straight angle, central angle, angle measurement, and angle addition. ③ Construction highlights: Sequence creates a grid of points (listGrid); Point, Segment, and Angle commands build points A, B, C, P and segments a, b, c, forming angles BAC, BAP, PAC; show1, show2, show3 control visibility; button0, button1, button2, buttonLang provide interactive toggling and language switching. ④ Suitable for middle‑school geometry (grades 7‑9) as a teaching aid for angle addition, and also for high‑school review or geometric construction practice.

GeoGebra Commands & Parameters

  1. Sequence(Line[A, A + (cos(i°), sin(i°))], i, 0, 359) → listGrid
  2. Point(listGrid) → B
  3. Point(listGrid) → C
  4. Segment(C, A) → a
  5. Segment(A, B) → b
  6. Angle(B, A, C) → BAC
  7. Point(listGrid) → P
  8. Segment(P, A) → c
  9. Angle(B, A, P) → BAP
  10. Angle(P, A, C) → PAC
  11. Angle(B, A, C) → BAC360