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14
14.5: Perform Composite Transformations
5
Two parallel lines are $$8$$ units apart. A preimage is reflected over the first line, and then its image is reflected over the next line.

The single transformation that maps the preimage to the final image is a
(translation/reflection/rotation).

The preimage and the final image are units apart.
• translation
• 16
• Two reflections over parallel lines that are $$h$$ units apart is the same as a single translation of $$2h$$ units.
• $$h = 8$$ since the parallel lines are $$8$$ units apart.
6
Two parallel lines are $$4.5$$ units apart. A preimage is reflected over the first line, and then its image is reflected over the next line.

The single transformation that maps the preimage to the final image is a
(translation/reflection/rotation).

The preimage and the final image are units apart.
• translation
• 9
• Two reflections over parallel lines that are $$h$$ units apart is the same as a single translation of $$2h$$ units.
• $$h = 4.5$$ since the parallel lines are $$4.5$$ units apart.