Answer:
Option A y = x
Step-by-step explanation:
In the given figure Pentagon PQRST and its reflection Pentagon P'Q'R'S'T' have been shown.
Pentagon P'Q'R'S'T' have been reflected by a line that passes through origin (0,0) and is perpendicular to the line joining points S(-2,1) and S'(1,-2)
Let the line is y = mx + c
Since line passing through s and s' and slope = = = -1
So line perpendicular to SS' will be
m × (-1) = (-1)
m = 1
The given line will be y = x + c
Since this line passes through (0,0) origin so 'C' will be zero.
Now we can say equation of the line is y = x by which Pentagon PQRST has been reflected.