Answer
B(-1,6)
Work Step by Step
Points A and B have symmetry with respect to point C(2, 3).
To find the coordinates of B if A is the point:
(5,0)
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
(2,3) = ($\frac{5+x2}{2}$, $\frac{0+y2}{2}$)
2 =$\frac{5+x2}{2}$ , 3= $\frac{0+y2}{2}$
x2 =4-5, y2 = 6 -0
x2 = -1, y2 = 6
Therefore the coordinates of B(-1,6)