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Symmetry Workpage

Symmetry Workpage
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2016-04-01 05:21
FunctionCalculusTransformation
This example demonstrates the process of creating symmetric shapes. Key mathematical concepts include symmetry, median value, calculus, slope, and linear programming. Using GeoGebra commands such as Line, Point, Polygon, and Mirror, symmetric shapes can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Polygon(C, D, M, E, F, G, H, I, J, K, L) → poly1, c, l, m, d, e, f, g, h, i, j, k
  4. Mirror(C, a) → C'
  5. Mirror(D, a) → D'
  6. Mirror(E, a) → E'
  7. Mirror(F, a) → F'
  8. Mirror(G, a) → G'
  9. Mirror(H, a) → H'
  10. Mirror(I, a) → I'
  11. Mirror(J, a) → J'
  12. Mirror(K, a) → K'
  13. Mirror(L, a) → L'
  14. Mirror(M, a) → M'
  15. Polygon(C', D', M', E', F', G', H', I', J', K', L') → poly1', c', l', m', d', e', f', g', h', i', j', k'

AI Drawing Prompt Reference

Draw a centrally symmetric figure. First, draw a line, then place two points C and D on the line, and draw a polygon CDEFGHIJKL. Next, mirror points C, D, E, F, G, H, I, J, K, L and the center point M of the polygon across the line to get C', D', E', F', G', H', I', J', K', L', and M'. Finally, use these points and the mirrored polygon to draw the symmetric figure.
The prompt above was compiled from the original drawing commands and is for reference only.