If `z_(1)z_(2),z_(3)` and `z_(4)` taken in order vertices of a rhombus, then proves that `Re((z_(3)-z_(1))/(z_(4)-z_(2))) = 0`

Explanation

To prove that \( \text{Re}\left(\frac{z_3 - z_1}{z_4 - z_2}\right) = 0 \) given that \( z_1, z_2, z_3, z_4 \) are the vertices of a rhombus, we can follow these steps:

### Step 1: Understand the properties of a rhombus
A rhombus has the property that its diagonals bisect each other at right angles. Let’s denote the vertices of the rhombus as follows:
- \( z_1 \) (top vertex)
- \( z_2 \) (left vertex)
- \( z_3 \) (bottom vertex)
- \( z_4 \) (right vertex)
...