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Pythagoras and Trapezoid Demo

Pythagoras and Trapezoid Demo
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2016-04-24 23:01
TrigonometryCoordinate GeometryProbability & StatisticsGeometric Construction
This example demonstrates the Pythagorean theorem in right triangles, combined with trapezoids, reflections, and addition operations. Core math concepts include the Pythagorean theorem, trapezoid area, geometric reflection, addition, boxplot, and centroid. It uses commands like Intersect, Point, Polygon, and Segment, with objects such as a, e, f, b, c, g, h for construction. Suitable for high school mathematics teaching, integrating geometric drawing with data analysis.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, E, F, B) → poly1, a, e, f, b
  4. Polygon(B, F, G, C) → poly2, b_1, f_1, g, c
  5. Polygon(C, G, H, D) → poly3, c_1, g_1, h, d
  6. Polygon(H, D, A, E) → poly4, h_1, d_1, a_1, e_1
  7. Polygon(E, F, G, H) → poly5, e_2, f_2, g_2, h_2
  8. Polygon(A, E, G, C) → poly6, a_2, e_3, g_3, c_2
  9. Intersect(f_1, e_3) → J
  10. Segment(A, G) → i
  11. Polygon(A, G, C) → poly7, c_3, a_3, g_4
  12. Intersect(yAxis, zAxis) → L
  13. Polygon(A, C, B) → poly8, b_2, a_4, c_4