Using analytical geometry, prove that the diagonals of a rhombus are perpendicular to each other.

Explanation

To prove that the diagonals of a rhombus are perpendicular to each other using analytical geometry, we can follow these steps:

### Step 1: Define the vertices of the rhombus
Let the vertices of the rhombus ABCD be defined as follows:
- A(0, 0)
- B(S, 0)
- C(A + S, B)
- D(A, B)
...