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What defines a quadrilateral?

  1. It has three sides and three angles

  2. It has four sides and the sum of its angles is 360°

  3. It has two pairs of parallel sides

  4. It can have any number of angles

The correct answer is: It has four sides and the sum of its angles is 360°

A quadrilateral is defined as a polygon that has four sides. This means that it possesses exactly four segments that connect to form a closed shape, which is a defining characteristic of the figure. Additionally, the sum of all interior angles in a quadrilateral is always 360 degrees, regardless of the specific type of quadrilateral. This property is fundamental in distinguishing quadrilaterals from other polygons, such as triangles or pentagons. The other options do not accurately represent the definition of a quadrilateral. For instance, a shape with three sides and three angles refers to a triangle, while having two pairs of parallel sides specifically describes a rectangle or a parallelogram, which are types of quadrilaterals but do not define the category as a whole. Lastly, stating that a shape can have any number of angles does not align with the specific criteria of what a quadrilateral entails.