Composition of Transformations Topic Index | Geometry Index | Regents Exam Prep Center

When two or more transformations are combined to form a new transformation, the result is called a composition of transformations.  In a composition, the first transformation produces an image upon which the second transformation is then performed.

The symbol for a composition of transformations is an open circle.
The notation is read as a reflection in the x-axis following a translation of
(x+3, y+4).  Be careful!!!  The process is done in reverse!!

You may see various notations which represent a composition of transformations:
could also be indicated by

Renaming a composition:  It is possible that a composition of two transformations may be renamed by only one other transformational method.  For example, the composition of a line reflection in the y-axis followed by a line reflection in the x-axis could be described as a single transformation of a reflection in the origin.

 Topic Index | Geometry Index | Regents Exam Prep Center Created by Donna Roberts