A line segment has endpoints at open paren 3 comma 2 close paren and open paren 2 comma negative 3 close paren Which reflection will produce an image with endpoints at open paren 3 comma negative 2 close paren and open paren 2 comma 3 close paren ?

A reflection across the x-axis keeps each x-coordinate the same and changes the sign of each y-coordinate: (x, y) becomes (x, −y). Thus (3, 2) maps to (3, −2), and (2, −3) maps to (2, 3). These are the stated image endpoints, so the correct choice is a reflection across the x-axis.

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