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Exploring Rotations by dietramckinney

Exploring Rotations by dietramckinney
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2015-11-15 11:09
Coordinate GeometryTransformationGeometric Construction
In collections Rotations in the coordinate plane
This example demonstrates how to perform rotations using GeoGebra. The core mathematical concepts include geometric transformations, specifically rotations. Using commands like Polygon, Intersect, Rotate, and Segment, the construction of rotated figures is illustrated. Suitable for middle school and above students or teachers for teaching and learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Rotate(A, (-α), D) → A'
  4. Rotate(B, (-α), D) → B'
  5. Rotate(C, (-α), D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Segment(A', D) → d
  8. Segment(D, A) → e

AI Drawing Prompt Reference

Draw a triangle ABC, then rotate it -α degrees around the origin to create a new triangle A'B'C'. First, find the intersection point D of the x-axis and y-axis. Use the Polygon command to draw triangle ABC. Then, rotate triangle ABC around point D by -α degrees to create the rotated triangle A'B'C'. Finally, draw line segments from point A' to point D and from point D to point A.
The prompt above was compiled from the original drawing commands and is for reference only.