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Defining Rotations

Defining Rotations
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2020-11-21 02:15
PolygonVectorCoordinate Geometry
This example demonstrates how to define a two-dimensional rotation transformation using a center point, rotation angle, and direction; core math concepts include vectors, polygons, coordinate geometry, and transformations; construction highlights involve points (A, B, p1, p2, C, D, E, F, G, H), sliders (button1, button2, button3, button4), and text objects (text1, text2, text3, text4); suitable for middle school and above students to learn the properties and applications of rotation transformations.

GeoGebra Commands & Parameters

  1. Point A(-5, -3)
  2. Point B(5, -3)
  3. Boolean p1(false)
  4. Boolean p2(false)
  5. Boolean d1(false)
  6. Boolean d2(false)
  7. Point C(-5.45, -4.03)
  8. Point D(5.568, -4.052)
  9. Point E(-4.94, -5.46)
  10. Point F(4.06, -5.46)
  11. Point G(-5.58, -4.28)
  12. Point H(4.42, -4.28)
  13. Numeric a(1)
  14. Numeric b(1)
  15. Numeric c(1)
  16. Numeric d(1)
  17. Point I(-6.222, -4.046)
  18. Point J(4.1028, -4.046)

AI Drawing Prompt Reference

Draw a rotation transformation example with two points A and B as the rotation center, and four points C, D, E, and F forming a quadrilateral. Use two boolean variables p1 and p2 to control the visibility of points C and D, and two boolean variables d1 and d2 to control the visibility of points E and F. By adjusting the angle parameters a, b, c, and d, observe the changes in the quadrilateral at different rotation angles.
The prompt above was compiled from the original drawing commands and is for reference only.