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Rotation Transformation by Aaron Burgoa

Rotation Transformation by Aaron Burgoa
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2015-10-06 20:17
AngleTransformationGeometric Construction
In collections Basic Rectangle Rotations
This example demonstrates how to perform rotation transformations using GeoGebra. Key mathematical concepts include rotation, angle, and geometric transformations. Using commands like Intersect, Segment, Circle, Rotate, and Angle, the construction of rotated figures is illustrated. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Segment(B, C) → a
  3. Circle(C, B) → c
  4. Rotate(B, (-α), C) → B'
  5. Segment(B', C) → b
  6. Angle(B', C, B) → β
  7. Rotate(pic2, (-α), C) → pic2'

AI Drawing Prompt Reference

Draw coordinate axes and their intersection point, create a line segment from the intersection, draw a circle with one endpoint of the segment as the center, rotate the segment around the intersection by an angle to form a new segment, then rotate a shape based on the new segment to demonstrate rotation transformation, labeling the rotation angle and included angle.
The prompt above was compiled from the original drawing commands and is for reference only.