Question

question 9 of 10 which of the following segments is a diameter of ⨀o? a. $overline{oz}$ b. $overline{uv}$ c. $overline{zx}$ d. $overline{zy}$

Explanation:

Step1: Recall diameter definition

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

Step2: Analyze each option

• Option A: $\overline{OZ}$ has one endpoint at the center $O$ and the other at a point on the circle, but it is a radius.
• Option B: $\overline{UV}$ passes through the center $O$ and has endpoints $U$ and $V$ on the circle, so it is a diameter.
• Option C: $\overline{ZX}$ does not pass through the center $O$, so it is a chord but not a diameter.
• Option D: $\overline{ZY}$ does not pass through the center $O$, so it is a chord but not a diameter.

Answer:

B. $\overline{UV}$