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Triangle Rotation by Lind, Jon

Triangle Rotation by Lind, Jon
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2015-01-28 05:36
TriangleTrigonometry
This example demonstrates the dynamic process of rotating a triangle around a point. Core math concepts include rotation, trigonometry, and geometric transformations. It uses commands like Polygon, Rotate, and PointIn in GeoGebra, along with objects such as points and polygons. Suitable for high school mathematics teaching to understand geometric transformations and trigonometric applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, 45*°, xAxis) → A'
  3. Rotate(B, 45*°, xAxis) → B'
  4. Rotate(C, 45*°, xAxis) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Rotate(poly1', 45*°, xAxis) → poly1''
  7. Rotate(poly1'', 45*°, xAxis) → poly1'''
  8. Rotate(poly1''', -45*°, b) → poly2
  9. Rotate(poly2, 45*°, xAxis) → poly2'
  10. PointIn(poly1'') → D
  11. Cone(C, A, 2) → d, e, f

AI Drawing Prompt Reference

Draw a triangle, rotate it 45 degrees around the x-axis to get a new triangle, then rotate the new triangle another 45 degrees, rotate the resulting triangle 45 degrees around its center, and finally rotate it -45 degrees around its center to get another triangle, labeling all key points and rotation relationships.
The prompt above was compiled from the original drawing commands and is for reference only.