MathPlotAI Logo MathPlotAI

Trapezoid to Rectangle

Trapezoid to Rectangle
Loading the math board and drawing, please wait…
2019-10-10 13:50
PolygonTransformationGeometric Construction
This example demonstrates how to transform a trapezoid into a rectangle through rotation and point movement. Key mathematical concepts include geometric transformations and properties of polygons. It uses commands such as Line, Point, Polygon, Midpoint, OrthogonalLine, Intersect, and Rotate in GeoGebra. Suitable for middle school and above students to learn about geometric transformations and polygon properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Point(f) → D
  4. Point(f) → E
  5. Point(g) → F
  6. Point(g) → G
  7. Polygon(D, G, F, E) → q1, d, g_1, f_1, e
  8. Midpoint(D, G) → H
  9. Midpoint(E, F) → I
  10. OrthogonalLine(G, g_1) → h
  11. OrthogonalLine(F, g_1) → i
  12. Intersect(e, h) → J
  13. Intersect(e, i) → K
  14. Midpoint(G, J) → L
  15. Midpoint(F, K) → M
  16. Midpoint(D, J) → N
  17. Midpoint(K, E) → O
  18. Polygon(H, N, D) → t1, d_1, h_1, n
  19. Polygon(I, O, E) → t2, e_1, i_1, o
  20. Polygon(N, H, G, F, I, O) → poly1, n_1, h_2, g_2, f_2, i_2, o_1
  21. Rotate(H, (-left), H) → H'
  22. Rotate(N, (-left), H) → N'
  23. Rotate(D, (-left), H) → D'
  24. Polygon(H', N', D') → t1', d', h', n'
  25. Rotate(I, right, I) → I'
  26. Rotate(O, right, I) → O'
  27. Rotate(E, right, I) → E'
  28. Polygon(I', O', E') → t2', e', i', o'