Reflection and a Reflection

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2016-09-27 11:00

This example demonstrates the process of constructing shapes through two reflections. It involves core mathematical concepts such as reflection, similar triangles, trigonometric functions, piecewise functions, equilateral triangles, and geometric constructions. The construction uses GeoGebra commands like Polygon, Line, and Mirror. Suitable for high school mathematics teaching on geometric constructions and transformations.

GeoGebra Commands & Parameters

Polygon(A, B, C, D) → poly1, a, b, c, d
Line(E, F) → f
Line(G, H) → g
Mirror(A, f) → A'
Mirror(B, f) → B'
Mirror(C, f) → C'
Mirror(D, f) → D'
Polygon(A', B', C', D') → poly1', a', b', c', d'
Mirror(A', g) → A''
Mirror(B', g) → B''
Mirror(C', g) → C''
Mirror(D', g) → D''
Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''