Composition of Transformations and Glide Reflections

High School Math based on the topics required for the Regents Exam conducted by NYSED.

Composition of Transformations
A composition of transformations is a combination of two or more transformations, each performed on the previous image.

Double Reflections over Parallel Lines
A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines).

Double Reflections Over Intersecting Lines
A composition of reflections over intersecting lines is the same as a rotation (twice the measure of the angle formed by the lines).

Glide Reflection
A glide reflection is a composition of transformations. In a glide reflection, a translation is first performed on the figure, then it is reflected over a line. Therefore, the only required information is the translation rule and a line to reflect over. A common example of glide reflections is footsteps in the sand.

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