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Plot the Reflection

Plot the Reflection
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2018-02-09 02:38
Coordinate GeometryTransformationGeometric Construction
This example demonstrates how to plot reflections using GeoGebra. Key mathematical concepts include reflection transformations. Construction highlights the use of commands like Polygon, Join, Point, Textfield, and Segment. Suitable for middle school and above students to learn about reflection transformations.

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. Join({Sequence[Sequence[(i, j), i, -10, 10, 1], j, -10, 10, 1], {(15, 6.5), (17, 6.5), (19, 6.5)}}) → GridSpace
  4. Point(GridSpace) → A1
  5. Point(GridSpace) → B1
  6. Point(GridSpace) → C1
  7. Polygon((14, 7.2), (14, 5.8), (20, 5.8), (20, 7.2)) → PointsBox, n, p, q, r
  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(R1, R2) → ReflLine
  19. Segment((0, 7.3), (0, -8)) → yaxis