The reflection will produce an image of RST with a vertex at (2,-3) at the line y = -x.
What is a symmetrical axis?
The x-axis of the line exists symmetrical, and the sign of y changes.
The y-axis of the line exists symmetric, and the sign of x changes.
The straight-line y = x exists symmetrical, and x and y are interchanged.
The straight line y = -x exists symmetrical, x and y are interchanged, and the sign must be changed.
If you reflect point S = (3,-2) over the line y = -x, then we get S' = (2,-3).
The reflection will produce an image of RST with a vertex at (2,-3) at the line y = -x.
Therefore, the correct answer is option D. a reflection of [tex]\triangle \mathrm{RST}[/tex]across the line y = -x.
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