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Areas and Symmetry

Areas and Symmetry
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2019-05-02 23:54
TransformationGeometric Construction
This example demonstrates how to use GeoGebra to draw and analyze areas and symmetry. Key mathematical concepts include geometric transformations, symmetry, and area calculation. Using commands like Intersect, Segment, and IntegralBetween, various geometric shapes are constructed and their areas are calculated. Suitable for high school and above students to learn about geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Intersect(h, f, (-6.283291031439461, -1.1)) → A
  2. Intersect(h, f, (0.28329103143946055, -1.1)) → B
  3. Intersect(g, u, (0.333291031439475, -5.900000000377528)) → D
  4. Segment(A, D) → i
  5. Intersect(u, g, (-6.233291031439445, -5.9)) → G
  6. Segment(B, G) → j
  7. Intersect(i, j) → C
  8. IntegralBetween(f, h, U1, U2) → c
  9. IntegralBetween(g, u, x(D), x(G)) → b
  10. Circle(C, k) → d
  11. Point(d) → E
  12. Segment(C, E) → p
  13. Segment(A, E) → l
  14. Segment(B, E) → m
  15. Segment(G, E) → n
  16. Segment(D, E) → q