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A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = -x
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Answer 1

To produce an image at the same coordinates, reflect the point across the y-axis.

Step-by-step explanation:

A point has the coordinates (0, k). To find the reflection of the point that will produce an image at the same coordinates, we need to determine which reflection preserves the y-coordinate. Since the y-coordinate is k, a reflection across the x-axis would change the y-coordinate to -k, resulting in a different set of coordinates. However, a reflection across the y-axis would preserve the y-coordinate, so the image would have the same coordinates (0, k) as the original point.

Learn more about Reflections in math