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Isosceles Trapezoid Construction by Wes Dunnavant (2)

Isosceles Trapezoid Construction by Wes Dunnavant (2)
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2017-05-22 10:48
PolygonFunctionGeometric Construction
This example demonstrates how to construct an isosceles trapezoid using GeoGebra. Key mathematical concepts include the properties of trapezoids and geometric construction. Commands such as Line, Point, Polygon, OrthogonalLine, Intersect, Segment, and Midpoint are used to construct the isosceles trapezoid. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Point(g) → D
  4. Polygon(A, B, C, D) → poly1, b_1, b, b_2, d
  5. OrthogonalLine(A, b_2) → h_1
  6. Intersect(g, h_1) → E
  7. Segment(A, E) → h_2
  8. Midpoint(D, A) → F
  9. Midpoint(B, C) → G
  10. OrthogonalLine(F, f) → i
  11. Intersect(f, i) → H
  12. Intersect(g, i) → I
  13. OrthogonalLine(G, f) → j
  14. Intersect(f, j) → J
  15. Intersect(g, j) → K
  16. Polygon(B, G, J) → poly2, j_1, b_3, g_1
  17. Polygon(G, K, C) → poly3, c, g_2, k
  18. Segment(A, D) → h
  19. Polygon(A, H, F) → poly4, f_1, a, h_3
  20. Polygon(F, D, I) → poly5, i_1, f_2, d_1