Question
or false. If it is false, explain why. 8. Every trapezoid is a quadrilateral
Ask by Watson Lowe.
Mar 18,2025 02:56
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Tutor-Verified Answer
Answer
Every trapezoid is a quadrilateral because it has four sides, which fits the definition of a quadrilateral.
Solution
The statement "Every trapezoid is a quadrilateral" is **true**.
### Explanation:
1. **Definition of a Trapezoid**: A trapezoid (or trapezium in some regions) is defined as a four-sided figure (quadrilateral) that has at least one pair of parallel sides.
2. **Definition of a Quadrilateral**: A quadrilateral is any polygon that has four sides.
Since a trapezoid has four sides and meets the criteria of being a quadrilateral, it follows that every trapezoid is indeed a quadrilateral.
Thus, the statement is true.
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True! Every trapezoid is indeed a quadrilateral because a trapezoid has four sides. In fact, a trapezoid is defined as a four-sided figure (quadrilateral) with at least one pair of parallel sides. So, no matter how you slice it—whether it’s an isosceles trapezoid or a right trapezoid—they all fall under the broader category of quadrilaterals!
Did you know? The word “trapezoid” comes from the Greek word “trapeza,” meaning “table.” It’s essentially a table-shaped figure with two sides that are parallel. This geometric shape has fascinated mathematicians for centuries, making its mark in various fields, from architecture to engineering!
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