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Individual Mirrors

Suppose our symmetry group for the strip has a reflection. Think about its mirror line. Can its mirror line be
Parallel to the x-axis?
If so, with what y-value? Remember, the symmetry has to take the strip $-1 \leq y \leq 1 $ to itself.
Parallel to the y-axis?
With what x value?
Not parallel to one of the coordinate axes?
What happens to points near the intersection of the mirror line with the boundary lines $y=\pm 1$ of the strip.