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In geometry, a glide reflection or transflection is a geometric transformation that consists of a reflection across a hyperplane and a translation ("glide") in a direction parallel to that hyperplane, combined into a single transformation.
21 lis 2023 · Learn what a glide reflection is and how it combines a reflection and a translation. See examples of glide reflections in the real world and how they have symmetry.
18 kwi 2023 · A glide reflection is the figure that occurs when a pre-image is reflected over a line of reflection then translated in a horizontal or vertical direction (or even a combination of both) to form the new image.
Definition: A glide reflection in math is a combination of transformations in 2-dimensional geometry. First, a translation is performed on the figure, and then it is reflected over a line. Therefore, Glide reflection is also known as trans-flection.
M x ∘T is an example of a glide reflection. By definition, a glide reflection is any translation followed by a reflection in any line parallel to the direction of translation.
3 paź 2013 · Glide reflection is the composition of a reflection and a translation parallel to the plane of reflection. If you compose the glide reflection operation with itself, you get a pure translation by twice the original translation vector; this is one way to single out what that vector is.
A glide reflection is an isometry with no fixed points and one invariant line. A glide reflection is the composition of a line reflection R m with a translation whose translation vector is not perpendicular to m.