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The Pentagon has 5 lines of symmetry quite simply, actually. See, say you made one line straight through the pentagon at every vertex, right? Well, once you do that, you have 3 lines of symmetry in total, right? Now, say you make another 2 lines of symmetry, this time right through the center of each side. In total, this would make 5.

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Q: How does a pentagon have 5 lines of symmetry?
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