False
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False but they are both 4 sided quadrilaterals
True
true.
False. Every rhombus is a parallelogram, but not every rhombus is a square. Only those that have right angles are squares. Every rhombus is a parallelogram because its diagonal lines are perpendicular, and they bisect an interior angle.
If by "equal" you mean "equal in length", yes, that is the same as "congruent".