MathPlotAI Logo MathPlotAI

Congruence Transformations Demo

Congruence Transformations Demo
Loading the math board and drawing, please wait…
2015-11-17 20:39
PolygonTransformationGeometric Construction
This example demonstrates the process of performing congruence transformations on polygons through rotation and translation. Key math concepts include congruence transformations, rotation, translation, and vectors. It utilizes GeoGebra commands/objects like Point, Polygon, Rotate, Translate, and Vector. Suitable for high school mathematics education to understand the properties and applications 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''