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 that are equal in length.

Step2: Analyze first quadrilateral MNOP

In quadrilateral MNOP, we do not have two pairs of adjacent equal - length sides.

Step3: Analyze second quadrilateral ABCD

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

Step4: Analyze third quadrilateral MNOP (second one in list)

In this quadrilateral, we do not have two pairs of adjacent equal - length sides.

Answer:

The quadrilateral \(ABCD\) is a kite.