How do I rotate a 2D shape in C++?

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sarah22
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I'm creating a C++ 2D program to practice my 2D skills. I'm almost done with everything but I'm stuck on this crap. Is there any formula on how to rotate a shape?

Example:

I have a line P1(-1,-1) P2(1,1)

If I rotate it by 45 degrees, I'll get a P1(1,-1) P2(-1,1). By the way, it should not leave its center which is C(0,0).
 
http://www.cgafaq.info/wiki/2D_Point_Rotation
 
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