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Identify Transformation Type

Identify Transformation Type
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2017-09-23 10:13
PolygonVectorCoordinate GeometryTransformationGeometric Construction
In collections Grade 8 Congruence and Transformations
This example demonstrates how to identify and manipulate geometric transformations using GeoGebra, including translation, rotation, reflection, and dilation. Core math concepts involve transformations, vectors, angles, polygons, and coordinate geometry. Construction highlights the use of commands like Polygon, Dilate, Ray, Translate, Vector, Rotate, Point, Line, Mirror, and Angle, along with objects A, B, C, D, etc. Suitable for high school mathematics education and geometric transformation studies.

GeoGebra Commands & Parameters

  1. Polygon(C, D, B) → poly1, b, c, d
  2. Dilate(C, a, A) → C'_1
  3. Dilate(D, a, A) → D'_1
  4. Dilate(B, a, A) → B'_1
  5. Polygon(C'_1, D'_1, B'_1) → poly1'_1, b', c', d'
  6. Ray(A, C) → e
  7. Ray(A, B) → f
  8. Ray(A, D) → g
  9. Translate(C, Vector[(horz, vert)]) → C'_2
  10. Translate(D, Vector[(horz, vert)]) → D'_2
  11. Translate(B, Vector[(horz, vert)]) → B'_2
  12. Polygon(C'_2, D'_2, B'_2) → poly1'_2, b'_1, c'_1, d'_1
  13. Vector(C, C'_2) → u
  14. Vector(B, B'_2) → v
  15. Vector(D, D'_2) → w
  16. Rotate(C, (-α), A) → C'_3
  17. Rotate(D, (-α), A) → D'_3
  18. Rotate(B, (-α), A) → B'_3
  19. Polygon(C'_3, D'_3, B'_3) → poly1'_3, b'_2, c'_2, d'_2
  20. Point(xAxis) → E
  21. Line(F, E) → h
  22. Mirror(C, h) → C'
  23. Mirror(D, h) → D'
  24. Mirror(B, h) → B'
  25. Polygon(C', D', B') → poly1', b'_3, c'_3, d'_3
  26. Vector(A, G) → z
  27. Angle(G, A, H) → β
  28. Polygon(I, J, K, L) → poly2, i, j, k_1, l
  29. Point(j) → P