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Translations in the Coordinate Plane

Translations in the Coordinate Plane
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2019-11-05 21:30
PolygonVectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the process and result of translating a polygon in the coordinate plane. Core math concepts include translation, vectors, coordinate geometry, and geometric construction. It uses commands like Polygon, Textfield, Translate, Segment, Point, and Vector to build the original polygon, translation vector, translated polygon, and textual explanations. Suitable for high school students learning coordinate geometry and geometric transformations to understand the mathematical representation and manipulation of translations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Textfield(tx) → inputBox1
  3. Textfield(ty) → inputBox2
  4. Translate(A, (tx, ty)) → A''
  5. Translate(B, (tx, ty)) → B''
  6. Translate(C, (tx, ty)) → C''
  7. Polygon(D, E, F, G) → poly2, d, e, f, g
  8. Segment(A, A'') → h
  9. Segment(B, B'') → i
  10. Segment(C, C'') → j
  11. Point(h) → A'_1
  12. Point(i) → B'_1
  13. Point(j) → C'_1
  14. Vector(A, A'_1) → u
  15. Vector(B, B'_1) → v
  16. Vector(C, C'_1) → w
  17. Polygon(A', B', C') → poly3, c', a', b'