Question

which property is true of all trapezoids?

opposite sides are congruent.

at least one pair of opposite sides are parallel.

consecutive sides are parallel.

opposite sides are perpendicular.

Explanation:

To determine the correct property of all trapezoids, we recall the definition of a trapezoid: a quadrilateral with at least one pair of parallel sides.

• "Opposite sides are congruent" is not true for all trapezoids (e.g., non - isosceles trapezoids may not have congruent opposite sides).
• "Consecutive sides are parallel" is incorrect because consecutive sides of a trapezoid meet at a vertex, so they cannot be parallel.
• "Opposite sides are perpendicular" is not a property of all trapezoids; most trapezoids do not have perpendicular opposite sides.
• "At least one pair of opposite sides are parallel" matches the definition of a trapezoid.

Answer:

B. At least one pair of opposite sides are parallel.