Answer to Question #189072 in Geometry for Mandisa Mnguni

Question

Mention explain mathematically and illustrate/show/draw/copy and paste a cultural artefact where glide-reflection is used to develop the pattern or artistic effect.

Answer 1

Glide reflection

Composition of a translation T and a reflection R

A(3,1)B(6,-2)C(4,5)

[T<0,-2> *R(Y=axis)](∆ABC)

A'(-3,1) B'(-6,-2) C'(-4,5)

A(-4,-5) B(-3,0) C(0,-2)

[T<0,3> *R(x=0)](∆ABC)

A'(4,-5) B'(3,0) C'(0,-2)

A(-2,5)B(0,0)C(-5,1)

[T<4,0> *R(Y=2)](∆ABC)