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Translation Quizzer

Translation Quizzer
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2016-09-26 22:03
PolygonVectorCoordinate Geometry
This example demonstrates the dynamic effect of polygon translation transformation. It involves core mathematical concepts such as vector, polygon construction, coordinate geometry, and translation transformation. Construction highlights include using commands like Polygon, Vector, Point, Line, OrthogonalLine, Intersect, and Translate in GeoGebra to build and translate shapes. It is suitable for high school students to learn and understand the properties of translation transformations and their coordinate representations, as well as for demonstrating and validating related exercises.

GeoGebra Commands & Parameters

  1. Polygon(C, B, A) → poly1, a, c, b
  2. Vector(D, D') → u
  3. Point(xAxis) → E
  4. Point(xAxis) → F
  5. Line(E, F) → f
  6. Point(yAxis) → G
  7. Point(yAxis) → H
  8. Line(G, H) → g
  9. OrthogonalLine(D', f) → h
  10. OrthogonalLine(D, h) → i
  11. Intersect(h, i) → I
  12. Vector(D, I) → v
  13. Vector(I, D') → w
  14. Polygon(B', A', C') → poly2, c', b', a'
  15. Translate(C, u) → C''
  16. Translate(B, u) → B''
  17. Translate(A, u) → A''
  18. Polygon(C'', B'', A'') → poly1', a'_1, c'_1, b'_1