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Are parallelograms rhombuses?
Some parallelograms are rhombuses, but all rhombuses are parallelograms. A parallelogram is a rhombus if and only if all of it's sides are the same length.
Some parallelograms are squares?
By definition, all squares are parallelograms. Not all parallelograms, however, are squares. All rectangles and rhombuses are also parallelograms.
Can a rhombus be a parallelogram?
All rhombuses are paralleleograms. Rhombuses are parallelograms in which all four sides are the same length (and the opposite angles are congruent). Squares are rhombuses in which all four angles are right.
Are some trapezoids rhombuses?
Yes. To be a trapezoid, a quadrilateral must have one pair of sides that are parallel. Since rhombuses are parallelograms, they are all also trapezoids, so a subset of trapezoids are rhombuses.
What are the types of parallelogram?
A parallelogram has opposite sides parallel and equal in length, and opposite angles are equal. Squares, rectangles and rhombuses are all parallelograms.
