Distance and midpoint of complex numbers  Complex Numbers
Distance and midpoint of complex numbers
We know how to find the distance and the midpoint between two points on a Cartesian plane, but what if we are dealing with a complex plane? It turns out that the formulas that are used to find the distance and the midpoint between two complex numbers are very similar to the formulas we use for the Cartesian points. In this section, we will learn how to use the midpoint formula and the distance formula for Complex numbers.
Basic concepts:
 Distance formula: $d = \sqrt{(x_2x_1)^2+(y_2y_1)^2}$
 Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
Related concepts:
 Imaginary zeros of polynomials
Lessons
Notes:
Notes:
midpoint formula $midpoint=\frac{real_2+real_1}{2}+\frac{im_2+im_1}{2}i$
distance formula$d=\sqrt{(real_2real_1)^2+(im_2im_1)^2}$

1.
Given the two complex numbers: $z=(3+i) ; w=(1+3i)$

2.
Given the complex number: $z=(5+2i)$, and its conjugate $\overline{z}=(52i)$