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Exploring Special Parallelograms by chuck_deree

Exploring Special Parallelograms by chuck_deree
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2015-12-07 20:41
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of special parallelograms (rectangle, rhombus, square). It involves core math concepts like parallelogram, diagonals, angles, symmetry, area, and perimeter. The construction uses commands such as Segment, Line, Intersect, Polygon, Circle, Point, OrthogonalLine, and objects like A, B, a, C, b, c, d, D, poly1, etc., for geometric analysis. Suitable for high school mathematics education to help students visually understand the properties and relationships among special parallelograms.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Line(C, a) → c
  4. Line(A, b) → d
  5. Intersect(c, d) → D
  6. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1
  7. Segment(E, F) → e
  8. Circle(E, F) → f
  9. Circle(F, E) → g
  10. Point(f) → G
  11. Segment(E, G) → h
  12. Line(F, h) → i
  13. Line(G, e) → j
  14. Intersect(i, j) → H
  15. Polygon(E, F, H, G) → poly2, e_1, f_1, h_1, g_1
  16. Segment(I, J) → k
  17. Circle(I, J) → p
  18. OrthogonalLine(I, k) → l
  19. Intersect(p, l) → K, L
  20. OrthogonalLine(J, k) → m
  21. OrthogonalLine(K, l) → n
  22. Intersect(m, n) → M
  23. Polygon(I, J, M, K) → poly3, i_1, j_1, m_1, k_1
  24. Segment(N, O) → q
  25. OrthogonalLine(N, q) → r
  26. OrthogonalLine(O, q) → s
  27. Line(P, q) → t
  28. Intersect(r, t) → Q
  29. Intersect(s, t) → R
  30. Polygon(N, Q, R, O) → poly4, n_1, q_1, r_1, o