Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below: Pentagon PQRST and pentagon P prime Q prime R prime S prime T prime on the coordinate plane with ordered pairs at P negative 4, 6, at Q negative 7, 4, at R negative 6, 1, at S negative 2, 1, at T negative 1, 4, at P prime 6, negative 4, at Q prime 4, negative 7, at R prime 1, negative 6, at S prime 1, negative 2, at T prime 4, negative 1. What is the line of reflection between pentagons PQRST and P'Q'R'S'T'?

Answer:The line of reflection is y=x.Step-by-step explanation:It is given that pentagon PQRST reflected to make the pentagon P'Q'R'S'T'.The vertices of preimage are P(-4,6), Q(-7,4), R(-6,1), S(-2,1) and T(-1,4).The vertices of image are P'(6,-4), Q'(4,-7), R'(1,-6), S'(1,-2) and T'(4,-1).The relation between preimage and image is defined by the rule[tex](x,y)\rightarrow (y,x)[/tex]It is the rule of reflection about the line y=x.Therefore the line of reflection between pentagons PQRST and P'Q'R'S'T' is y=x.