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A quadrilateral is a shape with four sides. A life without quadrilaterals would mean a life without squares, rectangles, parallelograms, and rhombuses.

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Q: What life would be without quadrilaterals?
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Why do certain quadrilaterals have opposite angles congruent?

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Is a quadrilateral a trapezoid?

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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.