My Math Forum test for perpendicular lines.

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 March 13th, 2016, 12:08 AM #1 Senior Member     Joined: Oct 2013 From: Far far away Posts: 429 Thanks: 18 test for perpendicular lines. Two lines m and n intersecting at point P are perpendicular if and only if when m is folded onto itself at point P the line n lies on the fold-line. Explain. My attempt: When we fold m onto itself at P a fold-line forms at P. This fold-line is like an axis of reflection symmetry for the line. This implies that the angles formed at P are congruent. Therefore the fold-line is perpendicular to line m. Now if line n lies along the fold-line it implies line n too is perpendicular to m. Am I correct? Is there a better explanation? Thanks.
 March 13th, 2016, 07:20 PM #2 Senior Member   Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics Yep, that's correct Thanks from shunya

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