Question

which of the following segments is a diameter of ⊙o? a. (overline{od}) b. (overline{ab}) c. (overline{ac}) d. (overline{db})

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: $\overline{OD}$ is a radius as one end - point is the center $O$ and the other is on the circle.
• Option B: $\overline{AB}$ does not pass through the center $O$.
• Option C: $\overline{AC}$ passes through the center $O$ and has both endpoints $A$ and $C$ on the circle.
• Option D: $\overline{DB}$ does not pass through the center $O$.

Answer:

C. $\overline{AC}$