# Composition of Transformations

Related Topics:
More Lessons for Grade 9 Math

Math Worksheets

Videos, worksheets, games and activities to help Geometry students learn about transformations on the coordinate plane. In this lesson, we will look at composition of transformation.

Composition of Transformations
A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines).
A composition of reflections over intersecting lines is the same as a rotation (twice the measure of the angle formed by the lines). The composite of two translations across intersecting lines is equivalent to a rotation. The concepts is demonstration visually, and it is shown how to calculate the magnitude of the rotation.

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.
Combining Transformations