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March 13th, 2016, 12:08 AM   #1
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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.
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March 13th, 2016, 07:20 PM   #2
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Yep, that's correct
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