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Translation by a Vector by Allison Sutton

Translation by a Vector by Allison Sutton
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2015-02-18 05:59
VectorTransformationGeometric Construction
This example demonstrates translation using a vector. Key mathematical concepts include vectors and translation transformations. It uses GeoGebra commands such as Point, Polygon, Vector, and Translate to construct the figure. Suitable for students in middle school and above learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 2.8284271247461903]) → B
  2. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  3. Vector(F, G) → u
  4. Vector(F, G) → v
  5. Translate(A, v) → A'
  6. Translate(B, v) → B'
  7. Translate(C, v) → C'
  8. Translate(D, v) → D'
  9. Translate(E, v) → E'
  10. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'

AI Drawing Prompt Reference

Draw a pentagon ABCDE, then translate it using vector u and v to create a new pentagon A'B'C'D'E'. First, draw a circle with center A and radius 2.828, and take a point B on the circle. Use A and B as two vertices to draw a pentagon. Then draw vector u, and draw another vector v that is the same as u. Translate each vertex of the pentagon ABCDE along vector v to generate the new pentagon A'B'C'D'E'.
The prompt above was compiled from the original drawing commands and is for reference only.