Answer:
Option C is correct.
[tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
Step-by-step explanation:
From the given figure:
Coordinate of Triangle ABC are:
A(-2, 1), B(-3, 4) and C(-4, 1)
And
Coordinate of Triangle A'B'C' are:
A'(1, -2), B'(4, -3) and C'(1, -4)
The rule of reflection across the line:
[tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
then;
Apply the given rule of reflection on coordinate of triangle ABC
[tex]A(-2, 1) \rightarrow (1, -2) =A'[/tex]
[tex]B(-3, 4) \rightarrow (4, -3) =B'[/tex]
[tex]C(-4, 1) \rightarrow (1, -4) =C'[/tex]
Therefore, the rule of reflection used here is [tex]r_{y=x} (x, y) \rightarrow (y, x)[/tex]
