Question

question 2 of 10
which of the following segments is a diameter of \\(\odot o\\)?
a. \\(\overline{bd}\\)
b. \\(\overline{oc}\\)
c. \\(\overline{od}\\)
d. \\(\overline{ob}\\)

Explanation:

A diameter of a circle is a straight line segment that passes through the center of the circle and has both endpoints on the circle. Analyzing each option:

• $\overline{BD}$ passes through center $O$, with endpoints $B$ and $D$ on the circle, fitting the definition.
• $\overline{OC}$ has one endpoint at the center $O$ and the other inside/on the edge but is a radius segment, not a diameter.
• $\overline{OD}$ is a radius, with only one endpoint on the circle and the other at the center.
• $\overline{OB}$ is also a radius, with only one endpoint on the circle and the other at the center.

Answer:

A. $\overline{BD}$