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A rhombus is a geometric shape, a diamond is not. 'Diamond' is from decks of cards, 'Rhombus' is from Math. BTW, a rhombus is a parallelogram* with opposite acute** and obtuse*** angles and all four sides are the same length.

*opposite sides of the shape are parallel

** (less than 90∘)

***(more than 90∘)

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a rhombus is the technical term and "diamond" is a more casual term for the same shape

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Q: How is a rhombus different than a diamond?
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