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Transformations and Congruence 7

Transformations and Congruence 7
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2017-08-03 06:20
TriangleVectorTransformationGeometric Construction
In collections Transformations and Congruence Activities 1-7
This example demonstrates the process of achieving triangle congruence through geometric transformations (rotation, translation). Core math concepts include congruence, symmetry, vector operations, and triangle properties. Construction highlights involve using GeoGebra commands like Polygon, Rotate, Vector, Translate to build and manipulate geometric objects. Suitable for high school mathematics instruction, focusing on the application of transformations in geometric proofs.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Rotate(A, 180°, C) → A'
  3. Rotate(B, 180°, C) → B'
  4. Rotate(C, 180°, C) → C'
  5. Rotate(D, 180°, C) → D'
  6. Rotate(E, 180°, C) → E'
  7. Rotate(F, 180°, C) → F'
  8. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  9. Vector(G, H) → u
  10. Translate(A', u) → A''
  11. Translate(B', u) → B''
  12. Translate(C', u) → C''
  13. Translate(D', u) → D''
  14. Translate(E', u) → E''
  15. Translate(F', u) → F''
  16. Polygon(A'', B'', C'', D'', E'', F'') → poly1'', a'', b'', c'', d'', e'', f''
  17. Polygon(A_1, B_1, C_1, D_1, E_1, F_1) → poly1_1, a_1, b_1, c_1, d_1, e_1, f_1
  18. Rotate(C_1, 180°, C_1) → C'_1