If one endpoint of a segment is (2, -3) and the midpoint is (5, 1), what is the other endpoint?

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Multiple Choice

If one endpoint of a segment is (2, -3) and the midpoint is (5, 1), what is the other endpoint?

Explanation:
Midpoints come from averaging the endpoints’ coordinates. Since the midpoint is (5, 1), the x-coordinates must satisfy (2 + x2)/2 = 5, which gives x2 = 8. The y-coordinates must satisfy (-3 + y2)/2 = 1, which gives y2 = 5. So the other endpoint is (8, 5). Verify by plugging back: ((2 + 8)/2, (-3 + 5)/2) = (5, 1).

Midpoints come from averaging the endpoints’ coordinates. Since the midpoint is (5, 1), the x-coordinates must satisfy (2 + x2)/2 = 5, which gives x2 = 8. The y-coordinates must satisfy (-3 + y2)/2 = 1, which gives y2 = 5. So the other endpoint is (8, 5). Verify by plugging back: ((2 + 8)/2, (-3 + 5)/2) = (5, 1).

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