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Congruent Transformations by James Pearce

Congruent Transformations by James Pearce
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2013-12-16 01:17
TriangleVectorTransformation
This example demonstrates congruent transformations of 2D shapes, particularly triangles, including reflections, rotations, and translations. Students can explore the properties of these transformations in a dynamic environment. Key mathematical concepts include reflections, rotations, and translations. The example uses commands like Polygon, Line, Mirror, Rotate, Vector, and Translate in GeoGebra. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → Object, c, a, b
  2. Line(D, E) → d
  3. Mirror(A, d) → A'
  4. Mirror(B, d) → B'
  5. Mirror(C, d) → C'
  6. Polygon(A', B', C') → Reflection, c', a', b'
  7. Rotate(A, -angle, CoR) → A''
  8. Rotate(B, -angle, CoR) → B''
  9. Rotate(C, -angle, CoR) → C''
  10. Polygon(A'', B'', C'') → Rotation, c'_1, a'_1, b'_1
  11. Vector(F, G) → u
  12. Translate(A, u) → A'''
  13. Translate(B, u) → B'''
  14. Translate(C, u) → C'''
  15. Polygon(A''', B''', C''') → Translation, c'_2, a'_2, b'_2
  16. Translate(B, u) → B'_1
  17. Vector(B, B'_1) → v
  18. Translate(A, u) → A'_1
  19. Vector(A, A'_1) → Translation_1
  20. Translate(C, u) → C'_1
  21. Vector(C, C'_1) → z