No, if we think about the lines of symmetry in a square we can see that although all of the diagonals are lines of symmetry there are also two that perpendicularly bisect the edges of the square, these are not diagonals. Also If we consider a rectangle we can see that the diagonals of a rectangle are not lines of symmetry.
Not all lines of symmetry are diagonals. For example, in a square there are diagonals that serve as lines of symmetry, but there are also vertical and horizontal lines that are not diagonals. Similarly, in rectangles, diagonals are not lines of symmetry, showing that the two concepts are not the same.
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