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    Translation and reflection

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    A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicular bisector of AA'. Hence, a translation and a reflection are the same. How do you respond?

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    https://brainmass.com/math/vector-calculus/translation-and-reflection-307263

    Solution Preview

    The statement requires few add-ons.
    If A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicular bisector of AA' - TRUE
    But if B' is the image of B under the same ...

    Solution Summary

    Translation and reflection are discussed.

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