A parallelogram with 4 equal sides is a rhombus
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?
A rhombus cannot be a square. A rectangle is an equiangular parallelogram. A rhombus is an equilateral parallelogram. A square is an equilateral and equiangular parallelogram. Thus, a square is both a rectangle and a rhombus.
An equilateral parallelogram is a rhombus.
A rhombus is an equilateral parallelogram that does not have a right angle.
No. That word is already taken. The square is a rhombus with a right angle.
An equilateral parallelogram is called a rhombus.
A rhombus would seem to fit the description of an equal 4 sided parallelogram
Only if all the faces (sides) are the same length. A rhombus is the equilateral version of a parallelogram, just like a square is the equilateral version of a rectangle.