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 (indicated by the arrow - markings), so it is a parallelogram, not a trapezoid.

Step3: Analyze second diagram

In the second quadrilateral \(MNOP\), there is no indication of any parallel sides.

Step4: Analyze third diagram

In the third quadrilateral \(ABCD\), \(AB\parallel CD\) (indicated by the arrow - markings) and the other pair of sides are not parallel. So it is a trapezoid.

Answer:

The third quadrilateral (labelled \(ABCD\)) is a trapezoid.