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Congruence Transformations Demo by kbailey

Congruence Transformations Demo by kbailey
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2015-11-17 03:52
PolygonVectorTransformation
This example demonstrates the congruence transformations of a polygon through rotation and translation. Key math concepts include congruence, vector, rotation, translation, and polygon construction. It uses commands like Point, Polygon, Rotate, Translate, and Vector in GeoGebra. Suitable for high school mathematics education to understand the properties and methods of geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → E
  3. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  4. Point(xAxis) → G
  5. Rotate(A, 90°, G) → A'
  6. Rotate(B, 90°, G) → B'
  7. Rotate(C, 90°, G) → C'
  8. Rotate(D, 90°, G) → D'
  9. Rotate(E, 90°, G) → E'
  10. Rotate(F, 90°, G) → F'
  11. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  12. Translate(A', Vector[(0, 0)]) → A''_2
  13. Vector(A', H) → u
  14. Translate(A', u) → A''
  15. Translate(B', u) → B''
  16. Translate(C', u) → C''
  17. Translate(D', u) → D''
  18. Translate(E', u) → E''
  19. Translate(F', u) → F''
  20. Polygon(A'', B'', C'', D'', E'', F'') → poly1'', a''_1, b'', c'', d'', e'', f''

AI Drawing Prompt Reference

Draw a hexagon ABCDEF, then rotate it 90 degrees around point G to get hexagon A'B'C'D'E'F', and finally translate hexagon A'B'C'D'E'F' along vector u to get hexagon A''B''C''D''E''F''.
The prompt above was compiled from the original drawing commands and is for reference only.