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Square Rotation Puzzle by David Wees

Square Rotation Puzzle by David Wees
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2019-03-23 01:53
PolygonAngleTrigonometryTransformationGeometric Construction
In collections Transformation Puzzles
This example demonstrates the dynamic process of rotating a square around a specific point. It involves core mathematical concepts such as rotation, congruence, geometric transformations, similarity transformations, and trigonometric functions. The construction uses GeoGebra commands/objects like Circle, Angle, Polygon, Vector, Line, Intersect, and Rotate. Suitable for middle school students and above learning geometric transformations, trigonometric functions, and dynamic geometry demonstrations.

GeoGebra Commands & Parameters

  1. Circle(G, 2) → c
  2. Angle(I, G, F) → angle_1
  3. Polygon(A, B, 4) → square, f, g, h, i, C, D
  4. Vector(G, F) → u
  5. Vector(G, I) → v
  6. Line(C, A) → j
  7. Line(B, D) → k
  8. Intersect(j, k) → O
  9. Rotate(square, (angle / 180 * π), O) → square'

AI Drawing Prompt Reference

Draw a square and rotate it around a point. First, draw a circle, then determine an angle, next draw a square, define two vectors, draw two lines through the square's vertices, find their intersection as the rotation center, and finally rotate the square around this center.
The prompt above was compiled from the original drawing commands and is for reference only.