Thread: is a parallelogram a rhombus?

Okay, I know that a rhombus is a parallelogram because it shares all of the same properties. BUT is a parallelogram a rhombus?

I would say no because in order for a parallelogram to be a rhombus wouldn't it have to have those extra properties like diagonals bisect at right angles and all sides equal???

I'm just confused because some sites are saying it is, and others are saying it isn't.

So any help would be great. Thanks

No, it is not. A rhombus requires that all sides are of equal length, which is not a requirement for a parallelogram.

Originally Posted by Astar

Okay, I know that a rhombus is a parallelogram because it shares all of the same properties. BUT is a parallelogram a rhombus?

I would say no because in order for a parallelogram to be a rhombus wouldn't it have to have those extra properties like diagonals bisect at right angles and all sides equal???

I'm just confused because some sites are saying it is, and others are saying it isn't.

So any help would be great. Thanks

For a complete overview about quadrilaterals look here: Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram

Scroll down a little bit to the family of quadrilaterals.