Identify the figure that illustrates "a reflection in line k."

The figure that illustrates a reflection in line k is figure A.
We have given that the figure
We have to determine the correct option a reflection in line k.
A reflecting line is a perpendicular bisector. When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.
Therefore option A is correct.
Therefore the figure that illustrates a reflection in line k is figure A.
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