yes, across the Br-C-Br/H-C-H planes.
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No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
paper plane
Lines which lie on the same plane and have the same length are known as symmetry lines
Rotational symmetry refers to symmetry of the figure when it is rotated about a single point in the same plane. Lines of symmetry apply to reflections. You do not have lines of rotational symmetry.
A circle