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Multiple Mirrors

If we have one or more reflections with mirror line parallel to the y-axis, let's readjust our origin if necessary so that the mirror line of one of them (call it r) actually is the y axis.

Recall $\tau$ was our smallest translation, one step to the right. What kinds of symmetries are the following compositions?

$r \circ \tau$:
i.e. first translate then reflect.
$\tau \circ r$:
If any of these are reflections, then what are their mirrors?