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Hexagon Rotation Puzzle

Hexagon Rotation Puzzle
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2019-03-23 01:46
PolygonVectorTransformationGeometric Construction
In collections Transformation Puzzles
This example demonstrates the dynamic process of rotating a hexagon around a specific point. Key math concepts include rotation, congruence, geometric transformations, and vectors. Construction highlights involve GeoGebra commands like Circle, Angle, Polygon, Line, Intersect, Vector, Rotate, utilizing objects such as angle, G, c, I, F, angle_1, B, A, hexagon, f, g, h, i, j, l, C, D, E, H, m, k, O, u, hexagon', v. Suitable for middle school and above, ideal for teaching geometric transformations.

GeoGebra Commands & Parameters

  1. Circle(G, 2) → c
  2. Angle(I, G, F) → angle_1
  3. Polygon(A, B, 6) → hexagon, f, H, g, h, i, j, l, C, D, E
  4. Line(C, H) → m
  5. Line(D, A) → k
  6. Intersect(k, m) → O
  7. Vector(G, F) → u
  8. Rotate(hexagon, angle_1, O) → hexagon'
  9. Vector(G, I) → v

AI Drawing Prompt Reference

Draw a hexagon and rotate it around point G. First, draw a circle with center G and radius 2, then draw an angle I-G-F, next draw a hexagon ABCDEF, then draw a line through points C and H, followed by a line through points D and A, find their intersection point O, then draw vector GF, and finally rotate the hexagon by the angle I-G-F around point O to get hexagon'.
The prompt above was compiled from the original drawing commands and is for reference only.