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Composition of Reflections

Composition of Reflections
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2017-09-15 05:30
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric phenomenon of obtaining a shape through the composition of two reflection transformations. It involves core mathematical concepts such as reflection, symmetry, and coordinate geometry. The construction utilizes GeoGebra commands/objects like Line, Polygon, Intersect, and Angle. Suitable for high school mathematics education to understand transformation composition and geometric properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, D) → g
  3. Polygon(E, F, G, H, I, J, K) → poly1, e, f_1, g_1, h, i, j, k
  4. Intersect(f, g) → L
  5. Angle(A, L, D) → α