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Dividing a Square

Dividing a Square
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2016-08-02 23:20
Polygon
This example demonstrates how to divide a square using points and line segments, visualizing symmetry and area. Core math concepts include geometry, symmetry, line segments, and geometric construction. It uses GeoGebra commands like Intersect, Point, Polygon, Segment, and Centroid. Suitable for middle school students learning geometric division and symmetry, or for visualizing bar charts in probability statistics.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c, d
  5. Segment(D, B) → f
  6. Segment(A, M) → g
  7. Intersect(f, g) → E
  8. Polygon(D, E, A) → poly2, a_1, d_1, e
  9. Polygon(D, C, M, E) → poly3, h, i, j, k
  10. Polygon(E, B, M) → poly4, l, m, p
  11. Polygon(B, A, E) → poly5, e_3, b_2, a_2
  12. Centroid(poly2) → L
  13. Centroid(poly3) → U
  14. Centroid(poly4) → R
  15. Centroid(poly5) → DD
  16. Segment(B, C) → q