Question

which of the following figure below will be mapped into it self after a reflection across the line x= 1?

Answer 1

A figure will be mapped into itself after a reflection if the midpoint of the figure is along x = 1.

From the given figure, the midpoints of figures a and b are along with x = 1. So when, being reflected across the line of x = 1, it will only be mapped to itself, it won't duplicate.

Therefore, the answer is a and b.