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Earn +20 ptsQ: All kites are rhombuses
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What are the quadrilaterals whose diagonals cross at right angles?
They are either kites or (if the diagonals bisect each other) rhombuses.
Are all kites quadrilaterals?
All kites are quadrilaterals, but quadrilaterals are not kites.
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.
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.
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