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Transformation Golf Hole5: Geometric Transformations and Graph Analysis

Transformation Golf Hole5: Geometric Transformations and Graph Analysis
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2026-10-27 00:04
Coordinate GeometryTransformationGeometric Construction
In collections Transformation Golf 9 Hole Course (just 5 holes so far))
This example demonstrates the effect of geometric transformations such as reflection, rotation, and scaling on shapes. Key mathematical concepts include geometric transformations, coordinate geometry, and graphing functions. Construction involves GeoGebra commands like Vector, Polygon, TranslateButton, etc. Suitable for middle or high school mathematics teaching to understand transformation principles and applications.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Polygon(OrigPts) → ball
  3. Vertex(ball) → C, D, E, M
  4. Point(u) → H
  5. Vector(A, H) → trans
  6. Polygon(OrigPts_{old}) → ball_{old}
  7. Line(F, G) → f
  8. Polygon(I, J, K, L) → green, i, j, k, l

AI Drawing Prompt Reference

Draw a coordinate-plane figure containing a polygon “ball” determined by the point set OrigPts, and mark its vertices C, D, E, and M. Add a second polygon “green” formed by four points I, J, K, and L. Include a reference line f determined by points F and G. Use the vector from A to B as u, then define a translation vector trans from A to H. Translate the original polygon ball by this translation vector to create the corresponding polygon ball_old, showing the geometric relationship between the original and its transformed image.
The prompt above was compiled from the original drawing commands and is for reference only.