Question

analyze the diagrams. which quadrilateral is a trapezoid?

Explanation:

Step1: Recall trapezoid definition

A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Step2: Analyze first diagram

In the first quadrilateral \(LMNO\), both pairs of opposite - sides are parallel (as indicated by the arrows), so it is a parallelogram, not a trapezoid.

Step3: Analyze second diagram

In the second quadrilateral \(MNOP\), there is exactly one pair of parallel sides (\(PO\) and \(MN\) are not parallel, and \(PN\) and \(MO\) are not parallel, but assume \(PO\) and \(MN\) have the correct parallel - side relationship as per the arrow), so it is a trapezoid.

Step4: Analyze third diagram

In the third quadrilateral \(ABCD\), both pairs of opposite - sides are parallel (as indicated by the arrows), so it is a parallelogram, not a trapezoid.

Answer:

The second quadrilateral (the one labeled \(MNOP\)) is a trapezoid.