Glide Reflection Example Math
A common example of glide reflections is footsteps in the sand.
Glide reflection example math. A glide reflection is a transformation in which every point p is mapped onto a point p by the following steps. The order which the transformations are performed affects the final image. As given in the example on finding the image of a composition the image is in quadrant iv. If you observe your footprints when walking in the sand or when you ve got muddy feet and leave.
It is invariant under the composition of a horizontal translation and a reflection in a horizontal mirror. In the example above translation is the only isometry that keeps the group unchanged. Triangle abc has vertices a 6 2 b 4 6 and c 2 4. But look at this one.
Or you can reflect the figure first and then slide it. In other words a glide reflection. Use the information below to sketch the image of δ abc after a glide reflection. A glide reflection is just what it sounds like.
If you want to analyze frieze symmetry the glide reflection is absolutely necessary. The same works for sliding up and down while reflecting about a vertical axis. If you slide a to the right and simultaneously flip it top to bottom you get b. A reflection in a line m parallel to.
A translation maps p onto p. You re not going to involve a rotation here. A translation or glide and a reflection can be performed one after the other to produce a transformation known as a glide reflection. A reflection across the x axis changes the position of the y coordinate of all the points in a figure such that x y becomes x y.
P 1 3 q 4 1 r 6 4. A special type of composition of transformations is a glide reflection and a glide reflection is the composition of a translation and a reflection. If you then do the same to b you get a back. Below are three examples of reflections in coordinate plane.
Reflections in coordinate geometry. Triangle def is formed by. You glide a figure that s just another way of saying slide or translate and then reflect it over a reflecting line. Some strip patterns on belts or wallpaper borders are based on glide reflections.
The footprints are glide reflections of each other. Describe the composition of transformations in the diagram. A really common example of a glide reflection that can be observed in everyday life is footprints. The result is the same either way.
A glide reflection is a transformation involving a translation and a reflection in a line parallel to the translation. The combination of a reflection in a line and a translation along that line. And the distance between each of the points on the preimage is maintained in its image.