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Rectangle Area by Chip Rollinson

Rectangle Area by Chip Rollinson
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2016-03-24 11:26
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to calculate the area of a rectangle using geometric construction. Key mathematical concepts include the properties of rectangles and area calculation methods. Using GeoGebra commands such as Point, Intersect, and Polygon, a rectangle is constructed and its area is calculated. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Point(a) → A
  2. Point(b) → B
  3. Intersect(c, d) → C
  4. Intersect(a, f) → G
  5. Intersect(b, e) → H
  6. Polygon(B, C, A, D) → poly1, b_1, c_1, a_1, d_1
  7. Intersect(d, e) → I
  8. Polygon(C, E, F, I) → poly2, c_2, e_1, f_1, i
  9. Polygon(H, I, C, B) → poly3, h, i_1, c_3, b_2
  10. Polygon(C, E, G, A) → poly4, c_4, e_2, g, a_2
  11. Segment(H, D) → j
  12. Segment(D, G) → k
  13. Segment(G, F) → l
  14. Segment(F, H) → m
  15. Segment(B, E) → n
  16. Segment(A, I) → p
  17. Segment(D, A) → q
  18. Segment(D, B) → r
  19. Segment(I, F) → s
  20. Segment(F, E) → t
  21. Segment(B, A) → g_1
  22. Segment(D, C) → h_1
  23. Segment(C, F) → j_1
  24. Segment(I, E) → k_1
  25. Intersect(j_1, k_1) → J
  26. Intersect(g_1, h_1) → K
  27. Segment(H, C) → l_1
  28. Segment(B, I) → m_1
  29. Segment(C, G) → n_1
  30. Segment(A, E) → p_1
  31. Intersect(n_1, p_1) → L
  32. Intersect(l_1, m_1) → M
  33. Segment(B, C) → q_1
  34. Segment(C, A) → r_1

AI Drawing Prompt Reference

Draw a rectangle ABCD, then connect its diagonals AC and BD, which intersect at point E. Mark points A, B, C, and D on the plane first, then draw diagonals AC and BD, which intersect at point E. Next, draw lines through point E parallel to the sides AD, AB, BC, and CD, intersecting the rectangle's sides at points F, G, H, and I, respectively, to form four inner rectangles.
The prompt above was compiled from the original drawing commands and is for reference only.