Is there a proof without involving coordonates? Would be better if it would involve vectors and linear/affine combination of them.
Also what is the significance of the center of a triangle with coordonates a/3 + b/3 + c/3, where a,b,c are the coordonate points of the vertices of the triangle in the xOy cartesian system?
What about 4 points, a,b,c,d and the point defined as (a+b+c+d)/4, what does it mean?
#Why is the center of a parallelogram the point of intersection of it's diagonals?
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I mean, what is the definition of "the center of a parallelogram"?
...what?
Like why is the center of a parallelogram the intersection of it's diagonals
...how is "the center of a parallelogram" defined?
Idk
Then how can you possibly prove anything about something that isn't defined?
Ok then
Why is the point of intersection of a parallelogram half way for both diagonals?
this one you can prove with similar triangles