Question

which of the segments below is a diameter?
answer attempt 1 out of 2
\\( \overline { o x } \\)
\\( \overline { x z } \\)
\\( \overline { b z } \\)
\\( \overline { n e } \\)

Explanation:

Step1: Recall the definition of a diameter

A diameter of a circle is a straight line segment that passes through the center of the circle and has its endpoints on the circle.

Step2: Analyze each option

• $\overline{OX}$: This is a radius (a segment from the center to a point on the circle), not a diameter.
• $\overline{XZ}$: This is just a chord (a segment with endpoints on the circle) that does not pass through the center.
• $\overline{BZ}$: This is a chord that does not pass through the center.
• $\overline{NE}$: This segment passes through the center \(O\) of the left - hand circle and has endpoints \(N\) and \(E\) on the circle.

Answer:

\(\overline{NE}\)