Why does a square have infinite lines of symmetry?

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2026-08-11 23:15

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A square has infinite lines of symmetry because you can draw lines of symmetry through every possible point that divides the square into two identical halves. Specifically, a square has four primary lines of symmetry: two diagonals and two that bisect the sides vertically and horizontally. Additionally, any line that passes through the center and connects to the edges can also be considered a line of symmetry, leading to an infinite number of such lines. Thus, the square's symmetrical properties allow for countless symmetrical divisions.

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