False.
Every parallelogram is not a rhombus, but every rhombus is also a parallelogram.
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A parallelogram and a rhombus are both 4 sided quadrilaterals
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This is false. Every rectangle is a parallelogram, but the converse (your statement) is not true. Imagine the set of all quadrilaterals (4 sided polygons). Within that set would be sets of kites, parallelograms, and other quadrilaterals. Within the parallelogram set, would be rectangles, rhombuses and other parallelograms. Then if a rhombus is also a rectangle, it would be a square, that would be the intersection of the set of rectangles and set of rhombuses. Hope this helps.
A parallelogram is not a statement that can be true or false.
true