Glide-Reflection Tool Demo

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2019-04-05 04:59

This example demonstrates the application of glide reflection transformations on polygons. It involves core math concepts like geometric transformations, translation, reflection, and vectors. Construction uses commands and objects such as Line, Vector, Polygon, Vertex, Mirror, Translate, and GlideReflect in GeoGebra. Suitable for high school mathematics teaching and geometric transformation studies.

GeoGebra Commands & Parameters

Line(F, G) → f
Vector(F, G) → u
Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
Vertex(poly1) → I, J, K, L, M
Mirror(I, f) → I'
Mirror(J, f) → J'
Mirror(K, f) → K'
Mirror(L, f) → L'
Mirror(M, f) → M'
Translate(I', u) → I''
Translate(J', u) → J''
Translate(K', u) → K''
Translate(L', u) → L''
Translate(M', u) → M''
Polygon(I'', M'', L'', K'', J'') → poly2, i'', m'', l'', k'', j''
GlideReflect(poly2, F, G) → poly3
GlideReflect(poly3, F, G) → poly4