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Rotation Exploration by kbailey

Rotation Exploration by kbailey
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2016-11-14 02:47
TrigonometryCoordinate GeometryTransformation
This example demonstrates how to explore the rotation of shapes and develop rules for new coordinates. It involves core math concepts like rotation transformation, coordinate geometry, and trigonometry. Constructed using GeoGebra commands like Intersect, Polygon, and Rotate, it is suitable for high school students to understand the geometric meaning of rotation and its coordinate representation, ideal for classroom instruction or self-learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → E
  2. Polygon(A, B, C, D) → poly1, a, b, c, d
  3. Rotate(A, α, E) → A'
  4. Rotate(B, α, E) → B'
  5. Rotate(C, α, E) → C'
  6. Rotate(D, α, E) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Rotate(A, (-β), E) → A'_1
  9. Rotate(B, (-β), E) → B'_1
  10. Rotate(C, (-β), E) → C'_1
  11. Rotate(D, (-β), E) → D'_1
  12. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1