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Rotation Game - Trapezoid CC

Rotation Game - Trapezoid CC
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2018-11-28 04:36
Coordinate GeometryTransformationGeometric Construction
In collections Class Rotation Game
This example demonstrates the dynamic rotation of a trapezoid around a point in a coordinate system. Core math concepts include geometric transformations, coordinate geometry, and similar triangles. Construction highlights involve Polygon for drawing, Intersect for finding intersections, and Rotate for rotation. Suitable for high school mathematics teaching to understand properties of rotations and coordinate representation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Intersect(xAxis, yAxis) → E
  3. Rotate(A, α°, E) → A'
  4. Rotate(B, α°, E) → B'
  5. Rotate(C, α°, E) → C'
  6. Rotate(D, α°, E) → D'
  7. Polygon(A', B', C', D') → q1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral in a coordinate system and find the intersection point of the coordinate axes. Rotate each vertex of the quadrilateral around this intersection point by a certain angle to get new vertices. Finally, draw a new quadrilateral using these four new vertices to show the rotation effect.
The prompt above was compiled from the original drawing commands and is for reference only.