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- wouldnot move.The productis equivalentto two rotations,whichis equivalentto a ro-
tation,whichis equivalentto no rotation.
Composition
LearningObjectives
- Understandthe meaningof composition.
- Plot the imageof a pointin a compositetransformation.
- Describethe effect of a compositionon a pointor polygon.
- Supplya singletransformationthat is equivalentto a compositeof two transformations.
Introduction
The wordcompositioncomesfrom Latinrootsmeaningtogether,com-, andto put,-position. In this lesson
we will “put together”someof the basicisometrytransformations:translations,reflections,and rotations.
Compositionsof thesetransformationsare themselvesisometrytransformations.
GlideReflection
Aglidereflectionis a compositionof a reflectionand a translation.The translationis in a directionparallel
to the line of reflection.