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Reflection in the x axis

Reflection in the x axis
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2014-12-16 00:40
TrigonometryCoordinate GeometryComplex NumberTransformationGeometric Construction
In collections GCSE Higher Ch8 Transformations & Constructions
This example demonstrates the reflection transformation of points, lines, and polygons across the x-axis. It involves core mathematical concepts such as reflection, complex numbers, median value, arithmetic, congruence, and fractions. The construction uses GeoGebra commands/objects like Point, Line, Polygon, and Mirror. Suitable for high school students learning coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Line(A, B) → a
  4. Polygon(C, D, E) → poly1, e, c, d
  5. Mirror(C, a) → C'
  6. Mirror(D, a) → D'
  7. Mirror(E, a) → E'
  8. Polygon(C', D', E') → poly1', e', c', d'