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Because if one of the pair of lines is going from bottom left to top right, the other is going from bottom right to top left.

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Q: Why does it make sense that slopes of perpendicular lines have opposite signs?
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Do slopes with parallel lines make sense?

Yes providing that the y intercepts are different but the slopes remain the same.


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The question doesn't quite make sense as stated. A regular nonagon has nine sides and each side has a unique perpendicular bisector - there are 9. A regular n-gon has n perpendicular bisectors of sides, if n is odd. If n is even, then there are only n/2 since opposite sides share the same perpendicular bisector.


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