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Catriona Shearer's Parallelogram Puzzle

Catriona Shearer's Parallelogram Puzzle
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2018-10-23 07:11
PolygonGeometric Construction
This is a geometric construction example demonstrating the properties of a parallelogram. Key mathematical concepts include area, parallelogram, root, and square. Using GeoGebra commands such as Line, Intersect, Point, and Polygon, a dynamic parallelogram model is constructed. Suitable for middle school and above students to learn geometry and area calculation.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(B, C) → g
  3. Line(A, g) → h
  4. Line(C, f) → i
  5. Intersect(h, i) → D
  6. Point(Segment[A, D]) → E
  7. Point(Segment[C, D]) → F
  8. Line(E, F) → j
  9. Intersect(f, j) → G
  10. Intersect(g, j) → H
  11. Polygon(G, E, A) → t1, a, g_1, e
  12. Polygon(D, E, F) → t2, f_1, d, e_1
  13. Polygon(F, C, H) → t3, h_1, f_2, c
  14. Polygon(A, D, C, B) → q1, a_1, d_1, c_1, b
  15. Textfield(guess) → InputBox1