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Rule of Adjacent Angles on a Straight Line

Rule of Adjacent Angles on a Straight Line
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2015-08-22 11:17
AngleCoordinate GeometryGeometric Construction
This example demonstrates that the sum of adjacent angles on a straight line is 180 degrees. Key concepts include adjacent angles, angles, and geometric construction. GeoGebra commands used include segment, circle arc, angle, and polygon. Suitable for middle school and above students learning geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Semicircle(A, B) → c
  3. Point(c) → D
  4. CircleArc(C, B, D) → d
  5. Point(d) → E
  6. Segment(C, D) → b
  7. Segment(C, E) → e
  8. Angle(B, C, E) → α
  9. Angle(E, C, D) → β
  10. Angle(D, C, A) → γ
  11. Polygon(J, K, L, M) → poly1, j, k, l, m
  12. Angle(D, C, A) → δ
  13. Angle(E, C, D) → ε