Question

question 8 of 10 which of the following segments is a diameter of ⊙o? a. (overline{of}) b. (overline{wm}) c. (overline{wo}) d. (overline{uf})

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: $\overline{OF}$ is a radius as one end - point is at the center $O$ and the other at a point $F$ on the circle.
• Option B: $\overline{WM}$ is a chord (a line - segment with endpoints on the circle) but does not pass through the center $O$.
• Option C: $\overline{WO}$ is a radius as one end - point is at the center $O$ and the other at a point $W$ on the circle.
• Option D: $\overline{UF}$ passes through the center $O$ and has endpoints $U$ and $F$ on the circle, so it is a diameter.

Answer:

D. $\overline{UF}$