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Triangle Rotation

Triangle Rotation
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2017-01-01 11:52
TriangleTransformationGeometric Construction
This example demonstrates the rotation of a triangle. Key mathematical concepts include rotation transformations. Using GeoGebra commands such as Point, Plane, OrthogonalLine, Polygon, and Rotate, the rotated triangle can be constructed. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(zAxis) → B
  2. Point(zAxis) → C
  3. Point(zAxis) → D
  4. Plane(E, G, F) → c
  5. OrthogonalLine(D, c) → f
  6. Polygon(D, B, A) → poly1, a_1, d_1, b
  7. Rotate(A, a, B) → A'
  8. Polygon(D, A', B) → poly2, b_1, d, a'

AI Drawing Prompt Reference

Draw a triangle ABC, then rotate it 90 degrees around point B to get a new triangle A'B'C'. First, place points A, B, and C on the z-axis. Construct plane c, then draw a line f perpendicular to c through point D. Use points D, B, and A to form triangle poly1. Finally, rotate point A around point B by 90 degrees to get point A', and use points D, A', and B to form triangle poly2.
The prompt above was compiled from the original drawing commands and is for reference only.