Answer:
[tex]A'(1,-5)[/tex]
Step-by-step explanation:
The coordinates of the given quadrilaterals are
[tex]A(-5,1),B(-4,3),C(-2,1),D(-3,-1)[/tex]
The reflection in the line [tex]y=x[/tex] has the mapping,
[tex](x,y)\rightarrow(y,x)[/tex]
We just have to swap the coordinates.
This implies that,
[tex]A(-5,1)\rightarrow A'(1,-5)[/tex]
[tex]B(-4,3)\rightarrow B'(3,-4)[/tex]
[tex]C(-2,1)\rightarrow C'(1,-2)[/tex]
[tex]D(-3,-1)\rightarrow D'(-1,-3)[/tex]
Therefore the correct answer is A.
[tex]A'(1,-5)[/tex]
