Answer
C(a,b)
Work Step by Step
Points A and B have symmetry with respect to point C.
To find the coordinates of C given the points:
A(2a,0) and B(0,2b)
C is the mid point of A and B
M=($\frac{x1+x2}{2}$, $\frac{y1+y2}{2}$)
C = ($\frac{2a+0}{2}$, $\frac{0+2b}{2}$)
C(a,b)
