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August 20, 2014

August 20, 2014

Posted by **Knights** on Monday, March 4, 2013 at 10:51am.

I don't understand how to start? Should we draw perpendicular lines?

- Analytic Geometry - Reflecting points over lines -
**Steve**, Monday, March 4, 2013 at 12:15pmGiven (x,y) and a line y = ax + c we want the point (x', y') reflected on the line.

Set d:= (x + (y - c)*a)/(1 + a^2)

Then x' = 2*d - x

and y' = 2*d*a - y + 2c

This relies on the fact the the distance from (h,k) to the line ax+by+c = 0 is

|ah+bk+c|/√(a^2+b^2)

- Analytic Geometry - Reflecting points over lines -
**Knights**, Monday, March 4, 2013 at 6:21pmthanks a lot

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