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Geometric Transformations and Similarity

Geometric Transformations and Similarity
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2019-08-26 22:59
MatrixTransformationGeometric Construction
This example demonstrates geometric transformations such as reflection, rotation, and similarity transformation. Using vector and transformation commands, a series of geometric shapes, such as triangles, polygons, and circles, can be constructed. Suitable for middle and high school students to learn about geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Vector(D, E) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Polygon(A', B', C') → t1', c', a', b'

AI Drawing Prompt Reference

Draw a triangle ABC, then create a vector u from point D to E. Next, translate each vertex of triangle ABC along vector u to form a new triangle A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.