Just find the midpoint of opposite corners
Consider the rectangle with sides of length a and b. The length of a diagonal is then sqrt(a2+b2) The two diagonals cross at the midpoint or where the length of the line from one vertex to the center is one half of a diagonal or (0.5)[sqrt(a2+b2)].
1- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and you have Point B(XB, YB) corresponding to the lower right coordinate of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated:
XC = XA + (XB-XA)/2
YC = YA - (YA-XB)/2
2- Consider you have Point A(XA,YA) corresponding to the upper left coordinate of the rectangle and the width (W) and height (H) of the rectangle, then, coordinates of the center Point C (XC, YC) is calculated:
XC = XA + (W)/2
YC = YA - (W)/2
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Yes. In 3 dimensions, a rectangle has 3 C2 axes perpendicular to each other and an inversion center at the center of the rectangle. There are also reflection planes along each of the C2 axes; this makes the point group of the rectangle D2h.
The vertex is at (5, -5).
A rectangle has NO faces. A rectangle has FOUR(4) Sides.
... right angles, by definition of a rectangle.... right angles, by definition of a rectangle.... right angles, by definition of a rectangle.... right angles, by definition of a rectangle.
The center of a square is half-way up one side and half-way along the adjacent side, and the sides are the same in a square, so you might say, "1/2A, 1/2A" for the center of a square with one corner at the origin of the axes and having size of A.