Question

Given z₁ and z2, find the

midpoint.

Z₁ = 12 +7i and z₂ = 8-11i

Answer 1

midpoint: 10 -2i

Explanation:

You want the midpoint between z1 = 12+7i and z2 = 8 -11i.

Midpoint

The midpoint of a line segment has coordinates that are the average of the coordinates of the endpoints.

M = (z1 +z2)/2 = ((12 +7i) +(8 -11i))/2 = (20-4i)/2

M = 10 -2i

The midpoint between z1 and z2 is 10 -2i.