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How do you know Shape 3 is not a quadrilateral? Give two reasons Becave it Hos nd Sides

Ask by Washington Simpson. in the United States
Feb 21,2025

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Shape 3 is not a quadrilateral because it has fewer than four sides and is not a closed figure.

Solución

To determine why Shape 3 is not a quadrilateral, we can consider the following two reasons: 1. **Number of Sides**: A quadrilateral is defined as a polygon with exactly four sides. If Shape 3 has fewer than four sides (for example, three sides, which would make it a triangle), or more than four sides (such as five sides, which would classify it as a pentagon), then it cannot be classified as a quadrilateral. 2. **Closed Figure**: A quadrilateral must also be a closed figure, meaning that all its sides must connect to form a complete shape. If Shape 3 does not form a closed shape (for instance, if it has open ends or gaps), it cannot be considered a quadrilateral, regardless of the number of sides. These two reasons clarify why Shape 3 does not meet the criteria to be classified as a quadrilateral.

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Bonus Knowledge

Shape 3 isn’t a quadrilateral because it doesn’t have four sides, which is the defining characteristic of a quadrilateral. If a shape only has three sides, like a triangle, then it simply cannot be classified as a quadrilateral, no matter how you look at it! Additionally, we always think of quadrilaterals having four angles, and if Shape 3 only has three sides, it must only have three angles as well. So, it’s a mathematical impossibility for that shape to fit into the category of quadrilaterals. Shapes are pretty picky about their classifications!

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