A point has the coordinates open paren 0 comma k close paren , where k≠0 Which reflection of the point will produce an image at the same coordinates, open paren 0 comma k close paren ?

Reflecting a point across the y-axis changes (x, y) to (−x, y). Since the point is (0, k), its x-coordinate stays 0 and its y-coordinate stays k, so its image is still (0, k). A reflection across the x-axis would change k to −k, which differs because k ≠ 0.

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