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Rotating Triangle

Rotating Triangle
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2022-06-11 23:11
TriangleTransformationGeometric Construction
This example demonstrates the dynamic process of rotating a triangle around a point. Core math concepts include rotation, geometric transformation, and properties of triangles. Construction highlights involve commands/objects like Point, Intersect, Polygon, Rotate, Mirror from GeoGebra. Suitable for high school mathematics teaching to understand transformations and geometric constructions.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Intersect(xAxis, yAxis) → C
  4. Polygon(C, A, B) → q1, f, g, h
  5. Rotate(C, (-turn), yAxis) → C'
  6. Rotate(A, (-turn), yAxis) → A'
  7. Rotate(D, (-turn), yAxis) → D'
  8. Rotate(B, (-turn), yAxis) → B'
  9. Polygon(C', A', B') → q1', i, j, k
  10. Mirror(Surface[g, turn, yAxis], Plane[yAxis, xAxis]) → a
  11. Mirror(Surface[h, turn, yAxis], Plane[yAxis, xAxis]) → b

AI Drawing Prompt Reference

Draw a triangle with one vertex at the intersection of the axes, another on the y-axis, and the last on the x-axis. Then rotate the triangle around the y-axis to see how it moves. Finally, perform a mirror transformation of the rotated triangle across the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.