In the diagram, polygon abcd is flipped over a line of reflection to make a polygon with vertices at a′, b′, c′, and d′. points a', b', and d' are shown, but the line of reflection and point c′ are not. what are the coordinates of c'′ ?
a. (6, 2)
b. (5, 2)
c. (7, 2)
d.(12, 2)

when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection. 

(-14+3/2b) - (1+8/2b) = -5 -5/2b(-10+b) + (7b-5) = 8b-15(7/2b-3) - (8+6b) = -5/2b-11(5+2b) + (2b+3/2) = 4b+ 13/2