How to Find the Center of a Parallelogram

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I want to find the center of a parallelogram in order to use it in my java program. I have four coordinates of the parallelogram and I want to find the center coordinate of the parallelogram. It seems I need to find the intersection point of the diagonal lines that I couldn't figure out of my poor math skills. Given four coordniates of the parallelogram what is the formula for finding the center of the parallelogram. I hope the intersection point of diagonals is the center of the parallelogram, correct me If it's not. If incase I'm wrong what I need is that intersection point not the center. It seems from another view point center of the bounding rectangle is the center of the parallelogram.

Any help would be appreciated

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1 Answer

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Yes, it's the intersection point of the diagonals. In fact, the diagonals bisect one another; so, if $(A,B)$ is one vertex and $(C,D)$ is the opposite, the center of the parallelogram is just $(\frac{A+C}{2}, \frac{B+D}{2}).$

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