Question

identifying trapezoids
analyze the diagrams. 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 diagram (quadrilateral \(ABCD\))

In quadrilateral \(ABCD\), sides \(BC\) and \(AD\) are parallel (indicated by the same - style arrows). There is exactly one pair of parallel sides.

Step3: Analyze the second diagram (quadrilateral \(LMNO\))

In quadrilateral \(LMNO\), both \(MN\parallel LO\) and \(ML\parallel NO\) (two pairs of parallel sides). So, it is a parallelogram (not a trapezoid as a trapezoid has exactly one pair of parallel sides).

Step4: Analyze the third diagram (quadrilateral \(NPMO\))

In quadrilateral \(NPMO\), there are no parallel sides (no sides with the same - style parallel - line indicators).

Answer:

The first quadrilateral (\(ABCD\)) is a trapezoid.