If you KNOW it is a parallelogram, just compare the lengths (or the squares of the lengths) of any two adjacent sides. If they are equal, it is a rhombus.
If A =(w,x) and B = (y,z)
then |AB|2 = (w - y)2 + (x - z)2
No. That word is already taken. The square is a rhombus with a right angle.
No, rhombus refers to its shape, not the fact that is has four equal sides. You could call a rhombus an equilateral parallelogram by why would you want to? Also, would you then call a square a rhombic rectangle?
Parallelogram. You could also call it a rhombus if all sides are the same length, but a rhombus is technically a parallelogram.
Not necessarily; it is a parallelogram - a rectangle is a parallelogram in which all angles are 90o. It could also be a rhombus - a rhombus is a parallelogram with all lengths the same; a square is a rhombus in which all angles are 90o.
A parallelogram with equal sides is always a rhombus, could be a rectangle, and could also be a square.
no it does not always have to be a parallelgram it could be a square or rectangle
Is rectangle and any parallelogram not square or rhombus
False. It could be a rhombus.
Yes: it could also be a rhomboid, rhombus, or a square.
You could say parallelogram or rhombus.
Quadrilateral
It could be a square or a rhombus.