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Angles in Intersecting Lines

Angles in Intersecting Lines
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2017-11-28 21:16
AngleTrigonometryGeometric Construction
In collections Mathematics Form 1
This example demonstrates the angles formed by intersecting lines, including adjacent angles, vertical angles, and angle relationships. It involves core concepts like angles, complementary, and supplementary angles. Constructed using commands such as Segment, Intersect, Angle, OrthogonalLine, Point, and SelectedIndex in GeoGebra. Suitable for middle school and above students learning geometric angle properties and constructions.

GeoGebra Commands & Parameters

  1. Segment(E, F) → a
  2. Segment(G, H) → b
  3. Intersect(a, b) → E_1
  4. Angle(H, E_1, F) → α
  5. Angle(G, E_1, E) → β
  6. Angle(F, E_1, G) → γ
  7. Angle(E, E_1, H) → δ
  8. Segment(A, B) → d
  9. Segment(C, D) → e
  10. Intersect(d, e) → I
  11. Angle(D, I, B) → ε
  12. Angle(C, I, A) → ζ
  13. Angle(B, I, C) → η
  14. Angle(C, I, A) → θ
  15. Segment(J, K) → i
  16. OrthogonalLine(L, i) → j
  17. Point(j) → M
  18. Segment(M, L) → k
  19. Intersect(i, k) → N
  20. Angle(K, N, M) → ι
  21. SelectedIndex(Bahasa) → nn