Question

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 figure

In the first figure with vertices \(A,B,C,D\), \(AB\) and \(CD\) are parallel (shown by the equal - number of hash marks on these sides), and it has one pair of parallel sides.

Step3: Analyze second figure

In the second figure with vertices \(E,F,G,H\), no sides are marked as parallel.

Step4: Analyze third figure

In the third figure with vertices \(J,K,L,M\), both pairs of opposite sides (\(JK\) and \(LM\), \(KL\) and \(JM\)) are parallel (shown by the equal - number of hash marks on opposite sides), so it is a parallelogram, not a trapezoid.

Answer:

The quadrilateral with vertices \(A,B,C,D\) (the first figure) is a trapezoid.