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Plotting a Translation

Plotting a Translation
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2018-02-06 00:29
PolygonCoordinate GeometryTransformation
This example demonstrates the process of plotting a polygonal translation in a coordinate system. Key math concepts include vectors, geometric transformations, and coordinate geometry. It utilizes commands like Polygon, Join, Point, Textfield, and Segment in GeoGebra. Suitable for middle school and above students learning about geometric transformations and vector applications.

GeoGebra Commands & Parameters

  1. Polygon((10.5, 9), (25, 9), (25, -10), (10.5, -10)) → RightBox, j, k, l, m
  2. Polygon((-12, 7.4), (25, 7.4), (25, 15), (-12, 15)) → TopBox, f, g, h, i
  3. Polygon((14, 7.2), (14, 5.8), (20, 5.8), (20, 7.2)) → PointsBox, n, p, q, r
  4. Join({Sequence[Sequence[(i, j), i, -10, 10, 1], j, -10, 10, 1], {(15, 6.5), (17, 6.5), (19, 6.5)}}) → GridSpace
  5. Point(GridSpace) → A1
  6. Point(GridSpace) → B1
  7. Point(GridSpace) → C1
  8. Polygon(A, B, C) → ABC, c, a, b
  9. Polygon(A1, B1, C1) → ABC1, c1, a1, b1
  10. Polygon(Acorr, Bcorr, Ccorr) → ABCcorr, ccorr, acorr, bcorr
  11. Textfield(usertext) → InputBox1
  12. Segment(Acorr, (x(Acorr), 0)) → Ahelper1
  13. Segment(Bcorr, (x(Bcorr), 0)) → Bhelper1
  14. Segment(Ccorr, (x(Ccorr), 0)) → Chelper1
  15. Segment(Acorr, (0, y(Acorr))) → Ahelper2
  16. Segment(Bcorr, (0, y(Bcorr))) → Bhelper2
  17. Segment(Ccorr, (0, y(Ccorr))) → Chelper2
  18. Segment((0, 7.3), (0, -7.8)) → yaxis

AI Drawing Prompt Reference

Draw a quadrilateral ABC, then translate it to a new position to form quadrilateral ABC1. First, draw the quadrilateral, then move points A, B, and C to a new position to create quadrilateral ABC1. Next, draw the corresponding sides of quadrilateral ABC1, and finally draw the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.