Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Explanation

To show that the quadrilateral formed by joining the midpoints of the consecutive sides of a rectangle is a rhombus, we will follow these steps:

### Step 1: Define the Rectangle and its Midpoints
Let the rectangle be \(ABCD\) where:
- \(A(0, 0)\)
- \(B(a, 0)\)
- \(C(a, b)\)
- \(D(0, b)\)
...