21bjbondsteel
21bjbondsteel 21bjbondsteel
  • 25-09-2018
  • Mathematics
contestada

For a point P not on a line M, the reflection image of P over line M is the point Q if and only if ________?

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sqdancefan
sqdancefan sqdancefan
  • 25-09-2018

... if and only if M is the perpendicular bisector of segment PQ.

_____

The image is the same distance from the line of reflection as the original (hence bisector). The distance of both to the line of reflection is as short as possible (hence perpendicular).

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