Wednesday

April 16, 2014

April 16, 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

**Related Questions**

Analytic Geometry - Reflecting points over lines - Let P = (5,1), and let Q be ...

geometry - math - Sketch six points A,B,C,D,E and F, no three of which are ...

geometry - If an object is reflected twice over parallel lines, and ...

geometry - If an object is reflected twice over parallel lines, and ...

Geometry - If an object is reflected twice over parallel lines, and ...

geometry - 1.in which geometry do lines no contain an infinite number of points...

Analytic Geometry - Find the equation of a circle passing through (3,7) and ...

geometry - 1£©sketch six points a b c d e and f, no three of which are ...

Analytic Geometry - What is the equation of the circle touching the lines x-3y-...

Analytic Geometry - What is the equation of the circle touching the lines x-3y-...