Composition of 3 reflections - Concurrent lines

Composition of 3 reflections - Concurrent lines
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2016-11-24 03:40
This example demonstrates the composition of three reflections resulting in concurrent lines. It involves core mathematical concepts such as reflection, square, straight lines, trigonometry, circumcircle, and statistics. The construction uses commands like Line, Rotate, Text, Polygon, and objects including Reset, A, B, a, C, b, D, c, α, a', b', β, text1, E, F, G, H, poly1, e, f, g, h. It is suitable for high school mathematics students and teachers to understand transformation geometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(A, C) → b
  3. Line(A, D) → c
  4. Rotate(a, α, A) → a'
  5. Rotate(b, α, A) → b'
  6. Text(β°) → text1
  7. Polygon(E, F, G, H) → poly1, e, f, g, h