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If r1, r2, and r3 represent rotations from Dn and f 1, f 2, and f 3 represent reflections from Dn, determine whether r1 r2 f 1 r3 f 2 f 3 r3 is a rotation or a reflection.

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  1. Today, 20:04
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    It is reflection

    Step-by-step explanation:

    We know these three rules:

    -a rotation followed by a rotation is a rotation

    -a reflection followed by a reflection is also a rotation

    -a rotation folowed by a reflection is a reflection

    So we have: f3r3 is f (reflection)

    f2 f is r (reflection)

    r3 r is r

    f2 r is f

    r2 f is f

    r1 f is f

    So, r1r2f1r3f2f3r3 is reflection.
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