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.
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An equilateral parallelogram is a rhombus.
A rhombus is an equilateral parallelogram that does not have a right angle.
An equilateral parallelogram is called a rhombus.
a rhombus
A rhombus is an equilateral parallelogram. As such, it is neither concave nor convex.