Question

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? –10 –2i 3 – i 9 – 2.5i 18 – 4i

Answer 1

The other endpoint of the segment is 4 - i.

Step-by-step explanation:

To find the other endpoint of the segment in the complex plane, we will use the midpoint formula. The midpoint formula states that the midpoint of a segment is the average of the coordinates of the endpoints. In this case, the midpoint is given as 7 - 2i and one endpoint is given as 11 - 3i. To find the other endpoint, we subtract the coordinates of the midpoint from the coordinates of the given endpoint:

(11 - 3i) - (7 - 2i) = 4 - i

Therefore, the other endpoint of the segment is 4 - i.