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Because a rhombus has 2 pairs of opposite equal parallel sides whereas a trapezoid has only 1 pair of opposite parallel sides of different lengths but they are both classified as 4 sided quadrilaterals.

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Q: Why can't trapezoids be classified as rhombi?
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Is a quadrilateral a trapezoid?

No, a quadrilateral isn't always a trapezoid. One way to consider it is that all trapezoids are quadrilaterals (four-sided shapes), but not all quadrilaterals are trapezoids. Some quadrilaterals are concave quadrilaterals, some are scalene convex quadrilaterals (called trapezoids in the UK), some would be trapezoids, and some would be parallelograms (rectangles, squares, rhomboids, rhombi). If parallelograms are considered a special case of trapezoids, then trapezoids would include all non-scalene convex quadrilaterals, which is a highly inclusive definition.


Is a trapezoid is a quadrilateral.?

No, a quadrilateral isn't always a trapezoid. One way to consider it is that all trapezoids are quadrilaterals (four-sided shapes), but not all quadrilaterals are trapezoids. Some quadrilaterals are concave quadrilaterals, some are scalene convex quadrilaterals (called trapezoids in the UK), some would be trapezoids, and some would be parallelograms (rectangles, squares, rhomboids, rhombi). If parallelograms are considered a special case of trapezoids, then trapezoids would include all non-scalene convex quadrilaterals, which is a highly inclusive definition.


Are trapezoids classified as squares?

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Can All quadrilaterals can be classified as either parallelograms or trapezoids?

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Are all squares rhombi?

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Are all parallelogram rhombi?

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No trapezoids are parallelograms, and no parallelograms are trapezoids.


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