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Rotation Matrix

Rotation Matrix
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2019-05-10 06:42
MatrixTransformationGeometric Construction
This example demonstrates the concept of rotation matrix and its application in geometric transformations. Key mathematical concepts include matrix multiplication and 2D rotation. Using commands like Polygon, ApplyMatrix, and LaTeX, users can observe the rotation effect of points in a 2D plane. Suitable for high school and above students to learn about geometric transformations and matrix operations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c_1, a_1, b_1
  2. ApplyMatrix(m, A) → A'
  3. ApplyMatrix(m, B) → B'
  4. ApplyMatrix(m, C) → C'
  5. Polygon(A', B', C') → t1', c', a', b'
  6. LaTeX(m, true, true) → text1

AI Drawing Prompt Reference

Draw a triangle ABC, then apply a rotation matrix to rotate it, and observe the rotated triangle A'B'C'. First, draw triangle ABC, then define a rotation matrix and apply it to each vertex, and finally draw the rotated triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.