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Vector Translation and Perimeter Calculation

Vector Translation and Perimeter Calculation
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2019-08-30 21:52
PolygonVectorCoordinate Geometry
In collections MTH-5173-2-St. Lawrence Seaway
This example demonstrates how to use vector translation to construct a quadrilateral and calculate its perimeter. Key mathematical concepts include vectors, translation, and the perimeter of a quadrilateral. Using GeoGebra commands such as Vector, Point, Segment, and Translate, the process of vector translation and its effect on the quadrilateral's perimeter is visually illustrated. Suitable for middle school and above students to learn geometric construction and vector-related knowledge.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(C, D) → v
  3. Point(c) → E
  4. Point(b) → F
  5. Segment(E, F) → f
  6. Translate(F, c) → F'
  7. Vector(F, F') → d
  8. Point(c) → G
  9. Segment(E, G) → g
  10. Translate(G, b) → G'
  11. Vector(G, G') → e
  12. Translate(A, w) → A'
  13. Vector(A, A') → m
  14. Translate(A, n) → A'_1
  15. Vector(A, A'_1) → p

AI Drawing Prompt Reference

Draw a quadrilateral and use vector translation to construct it and calculate its perimeter. First, create two vectors u and v, then use these vectors to create point E and F, and draw line segment EF. Translate F to get F' and create vector d. Next, create point G, draw line segment EG, then translate G to get G' and create vector e. Finally, translate A to get A' and create vectors m and p.
The prompt above was compiled from the original drawing commands and is for reference only.