Question

question 1 of 10 which of the following segments is a diameter of ⊙o? a. (overline{od}) b. (overline{bd}) c. (overline{oc}) d. (overline{ob})

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 is at the center $O$ and the other on the circle.
• Option B: $\overline{BD}$ passes through the center $O$ and has endpoints $B$ and $D$ on the circle, so it is a diameter.
• Option C: $\overline{OC}$ is a radius as one end is at the center $O$ and the other on the circle.
• Option D: $\overline{OB}$ is a radius as one end is at the center $O$ and the other on the circle.

Answer:

B. $\overline{BD}$