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Plot a Translation and a Reflection

Plot a Translation and a Reflection
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2018-02-10 04:07
FunctionCoordinate GeometryTransformation
This example demonstrates how to plot translation and reflection transformations in GeoGebra. Key mathematical concepts include translation and reflection. Using commands like Polygon, Join, Point, and Segment, the transformation can be constructed. Suitable for students at the junior high school level and above to learn about geometric 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. Polygon((15, 7.1), (15, 5.7), (21, 5.7), (21, 7.1)) → PointsBox, n, p, q, r
  4. Join({Sequence[Sequence[(i, j), i, -10, 10, 1], j, -10, 10, 1], {(16, 6.5), (18, 6.5), (20, 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(Atrans, Btrans, Ctrans) → ABCtrans, ctrans, atrans, btrans
  11. Polygon(Acorr, Bcorr, Ccorr) → ABCcorr, ccorr, acorr, bcorr
  12. Segment(E1, E2) → AxisLine
  13. Segment((0, 7.3), (0, -8)) → yaxis