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Simple Reflection Example

Simple Reflection Example
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2017-01-28 17:48
TransformationGeometric Construction
This example demonstrates the basic principle of reflection transformation. Key mathematical concepts include reflection, similarity transformation, and dilation. Using GeoGebra commands such as Point, OrthogonalLine, Polygon, and Mirror, the reflection transformation effect can be constructed. Suitable for students at junior high school level and above to learn about reflection and similarity transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → a
  3. Polygon(B, C, L, M, N, O, P, Q, R, S, T, U, D, V, W, Z, A_1, B_1, C_1, D_1, E_1, E, F, G, H, I, J, K) → poly1, b, k, l, m, n, o, p, q, r, s, t, c, u, v, w, z_1, a_1, b_1, c_1, d_1, e_1, d, e, f, g, h, i, j
  4. Mirror(B, a) → B'
  5. Mirror(C, a) → C'
  6. Mirror(D, a) → D'
  7. Mirror(E, a) → E'
  8. Mirror(F, a) → F'
  9. Mirror(G, a) → G'
  10. Mirror(H, a) → H'
  11. Mirror(I, a) → I'
  12. Mirror(J, a) → J'
  13. Mirror(K, a) → K'
  14. Mirror(L, a) → L'
  15. Mirror(M, a) → M'
  16. Mirror(N, a) → N'
  17. Mirror(O, a) → O'
  18. Mirror(P, a) → P'
  19. Mirror(Q, a) → Q'
  20. Mirror(R, a) → R'
  21. Mirror(S, a) → S'
  22. Mirror(T, a) → T'
  23. Mirror(U, a) → U'
  24. Mirror(V, a) → V'
  25. Mirror(W, a) → W'
  26. Mirror(Z, a) → Z'
  27. Mirror(A_1, a) → F_1
  28. Mirror(B_1, a) → G_1
  29. Mirror(C_1, a) → H_1
  30. Mirror(D_1, a) → I_1
  31. Mirror(E_1, a) → J_1
  32. Polygon(B', C', L', M', N', O', P', Q', R', S', T', U', D', V', W', Z', F_1, G_1, H_1, I_1, J_1, E', F', G', H', I', J', K') → poly1', b', k', l', m', n', o', p', q', r', s', t', c', u', v', w', z', f_1, g_1, h_1, i_1, j_1, d', e', f', g', h', i', j'

AI Drawing Prompt Reference

Draw a coordinate system, then take a point A on the x-axis and draw a perpendicular line a to the x-axis. Take several points B, C, D, E, F, G, H, I, J, L, M, N, O, P, Q, R, S, T, U, V, W, Z on line a, and their reflections B', C', D', E', F', G', H', I', J', L', M', N', O', P', Q', R', S', T', U', V', W', Z' across the x-axis. Finally, use these points to draw two polygons.
The prompt above was compiled from the original drawing commands and is for reference only.