Each of these shapes have certain characteristics they must follow in order for the shape to be classified as one. They are as followed:
Parallelogram
1. Quadrilateral
2. Opposite sides are parallel
3. Opposite sides are equal
4. Opposite angles are equal
5. Consecutive angles are supplementary (add up to 180°)
6. Diagnols bisect each other
Rectangle
1. Quadrilateral
2. Parallelogram
3. All sides are congruent
4. Diagnols are Perpendicular
5. Diagnols bisect angles
Using this list, we can conclude that rectangles are parallelograms, which I think is what you're asking. If not, let me know what you need.
Also, what's with the photo? I find it rather humorous if I'm being honest here.
