Understanding Vectors and Translations by Sean Sloat

Understanding Vectors and Translations by Sean Sloat
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2015-09-08 01:25
This example demonstrates how to construct geometric figures using vector operations and transformations. Key mathematical concepts include vector arithmetic, geometric transformations, and symmetry. The construction involves using GeoGebra commands such as Polygon, Vector, and Translate to create polygons and apply translation transformations. Suitable for middle or high school mathematics courses to understand the principles of geometric transformations and their practical applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(D, E) → T
  3. Translate(A, T) → A'
  4. Translate(B, T) → B'
  5. Translate(C, T) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Translate(A, T) → A'_1
  8. Vector(A, A'_1) → v
  9. Translate(C, T) → C'_1
  10. Vector(C, C'_1) → w
  11. Translate(B, T) → B'_1
  12. Vector(B, B'_1) → d