Answer
B(4,4)
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:
(0,2)
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
(2,3) = ($\frac{0+x2}{2}$, $\frac{2+y2}{2}$)
2 =$\frac{0+x2}{2}$ , 3= $\frac{2+y2}{2}$
x2 =4-0, y2 = 6 -2
x2 = 4, y2 = 4
Therefore the coordinates of B(4,4)