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Transformations and Congruence 4

Transformations and Congruence 4
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2017-08-03 06:17
VectorTransformationGeometric Construction
In collections Transformations and Congruence Activities 1-7
This example demonstrates the concepts of transformations and congruence. By using transformations such as translation and reflection, it shows the conditions for two figures to be congruent. The construction uses commands like Polygon, Segment, Mirror, Vector, and Translate. Suitable for middle school and above students learning about geometric transformations and congruence.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F, G) → poly1, a, b, c, d, e, f, g
  2. Segment(H, I) → h
  3. Mirror(A, h) → A'
  4. Mirror(B, h) → B'
  5. Mirror(C, h) → C'
  6. Mirror(D, h) → D'
  7. Mirror(E, h) → E'
  8. Mirror(F, h) → F'
  9. Mirror(G, h) → G'
  10. Polygon(A', B', C', D', E', F', G') → poly1', a', b', c', d', e', f', g'
  11. Vector(J, K) → u
  12. Translate(A', u) → A''
  13. Translate(B', u) → B''
  14. Translate(C', u) → C''
  15. Translate(D', u) → D''
  16. Translate(E', u) → E''
  17. Translate(F', u) → F''
  18. Translate(G', u) → G''
  19. Polygon(A'', B'', C'', D'', E'', F'', G'') → poly1'', a'', b'', c'', d'', e'', f'', g''
  20. Polygon(A_1, B_1, C_1, D_1, E_1, F_1, G_1) → poly1_1, a_1, b_1, c_1, d_1, e_1, f_1, g_1