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Reflection/Translation Warm up

Reflection/Translation Warm up
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2016-03-01 04:19
VectorTransformationGeometric Construction
This example demonstrates the transformation phenomena of figures through reflection and translation. Core math concepts include reflection, translation, similarity transformation, and rotation. Construction highlights involve GeoGebra commands like Polygon, Line, Mirror, Translate, and Vector. Suitable for high school geometry transformation teaching, helping students understand the basic operations and properties of spatial transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Line(E, F) → e
  3. Line(G, H) → f
  4. Mirror(A, e) → A'
  5. Mirror(B, e) → B'
  6. Mirror(C, e) → C'
  7. Mirror(D, e) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'
  9. Mirror(A', f) → A''
  10. Mirror(B', f) → B''
  11. Mirror(C', f) → C''
  12. Mirror(D', f) → D''
  13. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''
  14. Translate(D'', Vector[(0, 0)]) → D'''
  15. Translate(A'', u) → A'''
  16. Translate(B'', u) → B'''
  17. Translate(C'', u) → C'''
  18. Translate(D'', u) → D'''_1
  19. Polygon(A''', B''', C''', D'''_1) → poly1''', a''', b''', c''', d'''_1
  20. Vector(D'', I) → v
  21. Translate(A''', v) → J
  22. Translate(B''', v) → K
  23. Translate(C''', v) → L
  24. Translate(D'''_1, v) → M
  25. Polygon(J, K, L, M) → poly2, j, k, l, m