A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

A reflection across the line y = –x maps each point (x, y) to (–y, –x). Applying this rule, (–1, 4) becomes (–4, 1), and (4, 1) becomes (–1, –4). These are exactly the stated endpoints, so the correct choice is a reflection across the line y = –x.

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