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Reflections on Coordinate Plane

Reflections on Coordinate Plane
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2015-10-26 00:11
Coordinate GeometryTransformationGeometric Construction
This example explores four common types of reflections and their coordinate transformations. By analyzing the coordinate changes of points, a general rule for reflection transformations is derived. It uses commands like Polygon, Intersect, Line, and Mirror in GeoGebra for construction. Suitable for students at middle school level and above to learn about reflection transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → Preimage, a, b, c, d, e, f
  2. Intersect(xAxis, yAxis) → O
  3. Line(O, R) → g
  4. Mirror(A, g) → A'
  5. Mirror(B, g) → B'
  6. Mirror(C, g) → C'
  7. Mirror(D, g) → D'
  8. Mirror(E, g) → E'
  9. Mirror(F, g) → F'
  10. Polygon(A', B', C', D', E', F') → Image, a', b', c', d', e', f'