Two different Rhombuses?

Question

Two different Rhombuses, both of which have 4 sides of length 4 inches. What would the Rhombuses look like? and how would you know your shape is really a rhombus?

Answer 1

A rhombus is a special kind of parallelogram having all four sides equal in length.

A square is a rhombus.

For any rhombus, its diagonals are perpendicular and they bisect each other. (If the diagonals are equal, then that's a rhombus that is also a square).

 

You can take any rhombus and 'squish' it so that it gets flatter, i.e. its shorter diagonal shortens even more.

 

All squares are similar. Not all rhombuses are similar because of this 'squishing' property.