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Rotation Transformations Demo

Rotation Transformations Demo
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2020-04-30 09:32
TriangleAngleTransformationGeometric Construction
This example demonstrates the transformation of a triangle through rotation, involving core math concepts like rotation, angles, line segments, and trigonometry. It uses commands and objects such as Polygon, Intersect, Rotate, Segment, and Angle in GeoGebra. Suitable for high school geometry and transformation learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Intersect(xAxis, yAxis) → P
  3. Rotate(A, X, P) → A'
  4. Rotate(B, X, P) → B'
  5. Rotate(C, X, P) → C'
  6. Polygon(A', B', C') → t1', c', a', b'
  7. Segment(P, A) → f
  8. Segment(P, A') → g
  9. Angle(A, P, A') → α

AI Drawing Prompt Reference

Draw a triangle and demonstrate its rotation around the origin. First, draw the original triangle, then find the intersection of the coordinate axes as the rotation center. Next, rotate each vertex of the original triangle by the same angle around this center to get new vertices, and connect them to form the rotated triangle. Finally, draw line segments from the rotation center to one vertex of the original triangle and its corresponding vertex in the rotated triangle, and label the rotation angle.
The prompt above was compiled from the original drawing commands and is for reference only.