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Composition of Transformations




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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
Learn about combinations of transformations



 

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