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Two Parallelograms with Equal Angles

Two Parallelograms with Equal Angles
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2017-03-09 04:43
PolygonAngleTransformation
This example demonstrates two parallelograms with equal angles. Key mathematical concepts include the properties of parallelograms and angle relationships. It is constructed using GeoGebra commands such as Polygon, Rotate, Angle, etc. Suitable for students at the junior high school level and above to learn about the properties of parallelograms and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Rotate(D, (-α), C) → D'
  3. Angle(D', C, D) → β
  4. Ray(C, D') → f
  5. Rotate(A, (-α), D) → A'
  6. Angle(A', D, A) → γ
  7. Ray(D, A') → g
  8. Intersect(g, f) → G
  9. Rotate(B, (-α), A) → B'
  10. Angle(B', A, B) → δ
  11. Ray(A, B') → h
  12. Intersect(g, h) → K
  13. Rotate(C, (-α), B) → C'
  14. Angle(C', B, C) → ε
  15. Ray(B, C') → i
  16. Intersect(h, i) → I
  17. Intersect(f, i) → N
  18. Intersect(d, f) → H
  19. Intersect(a, g) → J
  20. Intersect(h, b) → K_1
  21. Intersect(c, i) → L
  22. Segment(C, H) → j
  23. Segment(B, L) → l
  24. Segment(D, J) → k
  25. Segment(K_1, A) → m
  26. Angle(B, A, D) → ζ
  27. Angle(A, B, C) → η