Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
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A pentagon does have reflective symmetry.
The y-axis is the symmetry line, so that (5, -3) and (-5, -3) are symmetric points.
It is called a Flirtation.
Sometimes called rotation symmetry, or symmetry of rotation. If you have an object that can be turned through a certain angle (like rotating a cube through 90o) and then it looks identical, then that object has a certain symmetry under rotation. If you can turn it through any angle, like a cylinder, then it has rotation (or rotational) symmetry.