## Elementary Geometry for College Students (5th Edition)

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