geonetric problem

[eman ahmed]

I have some points and I want to get the center of symmetry for this set of points .
point like(x,y)I mean in two diemension
I want a method to solve this problem,please if anyone read this topic and know the solution, replay to me as quick as possible
I'm really need a help

[hamsterman]

geometric...

Provided that such point exists, it would be the average of all points, I suppose.

[eman ahmed]

I can't understood,

[Kyon]

Considering you have two 2-dimensional points, the point that is exactly in between the two is the average of both points. (Like hamsterman said) If you'd have a point (4, 8) and a point (6, -2), the point that is directly in between the two is: ( (4+6)/2, (8-2)/2 ) = (5, 3). The two equals the number of points you have and the number you divide it by is the sum of all x / y coordinates. More generally that would mean:
Center point ( x , y ) = ( (sum of all x coordinates)/ amount of points , (sum of all y coordinates)/ amount of points )