No, although they can be lines of symmetry, they are not the same things. If a circle were to have its center at the point (1,1), the circle would have an infinite number of lines of symmetry, but none of them would be the x or y axis.
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I believe it has both. If you draw planes through the middle of opposite sides e.g. top/bottom, left side/right side, front/back, you will get three planes of (refection) symmetry. Also if you draw three lines through those same points, you will get three axes of (rotational) symmetry.
There are infinite planes of symmetry in a cylinder in the same way that a circle has infinite lines of symmetry.
The line (or surface) across which things are (exactly) the same. Look in a mirror. Draw a line from your head to between your feet. You are considered symmetrical to your left/right ... but not up/down nor front/back. The question should have been written as "What are axes of symmetry?" because axes is plural and axis is singular.
If you're referring to an equilateral triangle, a triangle in which all three sides are the same length, then there are three lines of symmetry.
If you had a circle and you halved it, exactly in the middle, then that line would be a line of symmetry! And it is the same with a square. If you halve it exactly in the middle then that would be called a line of symmetry! And then all the lines of symmetry in a square are down, across, diagonal from the left and then diagonal from the right! But in a circle there are LOTS of lines of symmetry!