No. Every rule that applies to a parallelogram applies to a rhombus, plus more.
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A rhombus is a parallelogram, but a parallelogram isn't always a rhombus. A rhombus is a parallelogram where all the lines are the same length.
A rhombus is a parallelogram, but something that is a parallelogram isn't necessarily a rhombus.
a parallelogram will never ever be a rhombus
A rhombus is always a parallelogram, by definition.
A rhombus is always a parallelogram!