3.5Sequences of Transformations
Quick Answer
A sequence of transformations applies transformations one after another. The order matters. Two reflections over parallel lines = a translation. Two reflections over intersecting lines = a rotation. The composition of rigid motions is always a rigid motion.
Essential Question
How does the order of transformations in a sequence affect the final image, and what single transformation can replace two reflections?
Learning Goals
- 1Apply a sequence of two or more transformations.
- 2Recognize that order matters in a sequence.
- 3Identify the single equivalent transformation for two reflections.
- 4Verify that compositions of rigid motions are rigid motions.
Key Vocabulary
Composition of transformations
Applying two or more transformations in sequence.
Glide reflection
A composition of a translation followed by a reflection over a line parallel to the translation direction.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.