Question

which quadrilateral is a trapezoid?

Explanation:

Step1: Recall the definition of a trapezoid

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

Step2: Analyze the first figure (ABCD)

In figure \(ABCD\), \(AB\) is not parallel to \(CD\), and \(AD\) is perpendicular to \(AB\) and \(CD\). But \(AB\) and \(CD\) are not parallel. However, \(AD\) is perpendicular to \(AB\) and \(CD\), and \(AB\) and \(CD\) are parallel (since they are both perpendicular to \(AD\)). Wait, no, actually, in a trapezoid, we need to check parallelism. Let's re - check. A trapezoid has one pair of parallel sides. In the first figure (assuming the right - angled sides \(AB\) and \(CD\) are parallel (because they are both perpendicular to \(AD\))).

Step3: Analyze the second figure (EFGH)

There is no indication of parallel sides.

Step4: Analyze the third figure (JKLM)

It is a parallelogram (both pairs of opposite sides are parallel), so it is not a trapezoid.

Answer:

The first quadrilateral (the one labeled \(ABCD\)) is a trapezoid.