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Rotation Around Vertical Line

Rotation Around Vertical Line
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2015-09-07 22:08
PolygonAngleTransformation
This example demonstrates the phenomenon of rotating a figure around a vertical line. Key mathematical concepts include rotation, angles, and polygons. Using GeoGebra commands such as Rotate, Polygon, and Point, the construction of the rotated figure is achieved. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

  1. Rotate(B, α, A) → B'
  2. Polygon(A, B', D, C) → poly1, a, b', d, c
  3. Point(a) → K
  4. PointIn(poly1) → L
  5. Point(c) → E
  6. Polygon(C, D, L, K, A, E) → poly2, c_1, d_1, l, k, a_1, e

AI Drawing Prompt Reference

Draw a diagram showing a figure rotating around a vertical line, highlighting key concepts of rotation, angles, and polygons. Start by creating a polygon, then select a point as the rotation center and an angle to rotate it, resulting in a rotated figure. Next, mark several key points on the rotated shape and connect them to form a new polygon, finally presenting a comparison of the original and rotated figures to illustrate geometric transformations for junior high school students and above.
The prompt above was compiled from the original drawing commands and is for reference only.