What is a characteristic of a trapezoid?

What is a characteristic of a trapezoid?

• A. It has two pairs of parallel sides
• B. It has exactly one pair of parallel sides
• C. It is always a quadrilateral
• D. It has no parallel sides

Answer: (B)

A trapezoid is defined as a four-sided figure, or quadrilateral, that has exactly one pair of parallel sides. This unique property distinguishes it from other types of quadrilaterals. The parallel sides are referred to as the bases of the trapezoid, while the other two sides, which are not parallel, are called the legs. This characteristic is significant because it allows trapezoids to exhibit particular properties related to area and angles that other quadrilaterals do not share. For example, the area of a trapezoid can be calculated using the lengths of the bases and the height between them. Understanding this property helps students identify trapezoids among other quadrilaterals, such as rectangles or squares, which have two pairs of parallel sides, or irregular quadrilaterals, which may not have any parallel sides at all. Recognizing a trapezoid's defining feature of having exactly one pair of parallel sides is vital for solving many geometric problems and understanding the relationships between different shapes in geometry.

A trapezoid is defined as a four-sided figure, or quadrilateral, that has exactly one pair of parallel sides. This unique property distinguishes it from other types of quadrilaterals. The parallel sides are referred to as the bases of the trapezoid, while the other two sides, which are not parallel, are called the legs.

This characteristic is significant because it allows trapezoids to exhibit particular properties related to area and angles that other quadrilaterals do not share. For example, the area of a trapezoid can be calculated using the lengths of the bases and the height between them. Understanding this property helps students identify trapezoids among other quadrilaterals, such as rectangles or squares, which have two pairs of parallel sides, or irregular quadrilaterals, which may not have any parallel sides at all.

Recognizing a trapezoid's defining feature of having exactly one pair of parallel sides is vital for solving many geometric problems and understanding the relationships between different shapes in geometry.