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From Triangle to Parallelogram (II)

From Triangle to Parallelogram (II)
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2016-07-08 10:37
PolygonCoordinate GeometryGeometric Construction
This example demonstrates constructing a parallelogram from a triangle. Key mathematical concepts include geometric construction, intersection of lines and circles, and coordinate geometry. It uses commands like Polygon, Segment, Line, Midpoint, Circle, and Intersect in GeoGebra. Suitable for middle school and above students to learn geometric transformations and constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(D, E) → f
  3. Line(D, F) → g
  4. Line(D, E) → h
  5. Midpoint(B, C) → G
  6. Circle(E, Segment[G, C]) → d
  7. Intersect(d, h, 2) → H
  8. Line(E, g) → i
  9. Line(H, g) → j
  10. Line(B, C) → k
  11. OrthogonalLine(A, k) → l
  12. Intersect(l, k) → I
  13. Circle(E, Segment[A, I]) → e
  14. OrthogonalLine(E, h) → m
  15. Intersect(e, m, 1) → J
  16. Line(J, h) → n
  17. Intersect(g, n) → K
  18. Line(K, E) → p
  19. Intersect(j, p) → L
  20. Line(L, h) → q
  21. Intersect(g, q) → M
  22. Intersect(i, q) → N
  23. Polygon(M, D, E, N) → target, m_1, d_1, e_1, n_1