Question

figure abcd is a kite. what is the length of line segment bc? 8 units 14 units 22 units 36 units

Explanation:

Step1: Recall kite properties

A kite has two pairs of adjacent sides equal. In kite \(ABCD\), \(AB\) and \(BC\) are adjacent? Wait, no, looking at the marks: \(AB\) and \(BC\) – wait, the marks on \(AB\) and \(BC\)? Wait, no, the diagram: \(AB\) is marked with length 14, and \(AB\) and \(BC\)? Wait, no, in a kite, two distinct pairs of adjacent sides are equal. So \(AB = BC\) or \(AD = CD\)? Wait, the diagram shows \(AB\) with length 14, and \(AD\) and \(CD\) with marks (two marks on \(AD\) and two on \(CD\), and one mark on \(AB\) and one on \(BC\)). So the sides with one mark ( \(AB\) and \(BC\)) should be equal? Wait, no, the standard kite: two pairs of adjacent sides congruent. So \(AB = BC\) and \(AD = CD\)? Wait, \(AB\) is 14, so \(BC\) should be equal to \(AB\)? Wait, no, wait the diagram: \(AB\) has length 14, and \(BC\) – wait, the options: 14 is an option. Wait, let's check: in a kite, adjacent sides are equal. So \(AB\) and \(BC\) – no, \(AB\) and \(AD\)? Wait, no, the marks: \(AB\) has one mark, \(BC\) has one mark, \(AD\) has two marks, \(CD\) has two marks. So sides with the same number of marks are equal. So \(AB = BC\) (one mark each) and \(AD = CD\) (two marks each). \(AB\) is 14, so \(BC = AB = 14\) units.

Answer:

B. 14 units