A segment in the complex plane has a midpoint at 7 – 2i. If the segment has an endpoint at 11 – 3i, what is the other endpoint?

The midpoint is the average of the two endpoints, so the other endpoint is twice the midpoint minus the known endpoint. Calculate 2(7 − 2i) − (11 − 3i) = 14 − 4i − 11 + 3i = 3 − i. Therefore, the other endpoint is 3 − i, choice B.

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