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Enlargement Using Vectors and Rays

Enlargement Using Vectors and Rays
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2016-09-28 14:25
VectorTransformationGeometric Construction
This example demonstrates how to perform enlargement using vectors and rays. Key mathematical concepts include vectors and rays. Using commands like Polygon, Dilate, Ray, and Vector in GeoGebra, the construction of the enlarged figure is shown. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → P, c, a, b
  2. Dilate(A, SF, D) → A'
  3. Dilate(B, SF, D) → B'
  4. Dilate(C, SF, D) → C'
  5. Polygon(A', B', C') → P', c', a', b'
  6. Ray(D, A') → d
  7. Ray(D, B') → e
  8. Ray(D, C') → f
  9. Vector(D, C) → u
  10. Vector(D, C') → v
  11. Vector(D, B) → w
  12. Vector(D, B') → z
  13. Vector(D, A) → g
  14. Vector(D, A') → h
  15. Polygon(B', A', C') → poly1, c'_1, b'_1, a'_1

AI Drawing Prompt Reference

Draw a triangle ABC, then enlarge it by a factor of 2 with point D as the center, resulting in triangle A'B'C'. Next, draw rays from D to A', B', and C', and vectors from D to C, C', B, and B'.
The prompt above was compiled from the original drawing commands and is for reference only.