Question

analyze the diagram. which quadrilateral is a kite?

Explanation:

Step1: Recall kite - definition

A kite is a quadrilateral with two pairs of adjacent sides equal.

Step2: Analyze first quadrilateral

In quadrilateral \(NMPO\), only one pair of adjacent sides (\(NM\) and \(MP\)) has one - mark equality, not two pairs of adjacent equal sides.

Step3: Analyze second quadrilateral

In quadrilateral \(ABCD\), \(AB = BC\) and \(AD=CD\). It has two pairs of adjacent sides equal.

Step4: Analyze third quadrilateral

In quadrilateral \(NMPO\) (the third one), the side - markings do not show two pairs of adjacent equal sides.

Answer:

The quadrilateral \(ABCD\) is a kite.