Thursday

January 29, 2015

January 29, 2015

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

**Answer this Question**

**Related Questions**

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

analytic geometry - The image of a point after a reflection over the line y = –x...

Geometry - Which shows the correct coordinates for the reflection of the point ...

Algebra/Geometry - Identify the sequence of transformations that maps ...

algebra - Find the slope of the line through the given points. (2,4) (6,-3). m=...

Math - The coordinates of the vertices of triangle ABC are A (-5,1), B (-2,3) ...

geometry help!! answer all questions!! please - 1) Write the translation that ...

Geometry - Write the translation that maps P(-4, 2) onto the point P ' (-1, -1...

Help with triangle - I need help with these: Triangle LMN has vertices L(-6,5), ...

Math - After a reflection over the x-axis I have to find the coordinates of A1, ...