Question

Given point R(3,1) is mapped onto R'(5,1) under a reflection.Find the coordinates of the image of (-3,2) under the same reflection.

Answer 1

the reflection is clearly through the line L: x=4

Note that R is one unit to the left of L, and R is one unit to the right.
(-3,2) is 7 units to the left of L, so its image is 7 units to the right.