Question

question 4 of 10

the chord \\(\overline{bc}\\) is a diameter of \\(\odot o\\).

a. true
b. false

Explanation:

Identify the given geometric elements

The problem asks whether the chord \(\overline{BC}\) is a diameter of circle \(O\).
The image shows a circle centered at point \(O\).
Points \(B\) and \(C\) lie on the boundary of the circle, making segment \(\overline{BC}\) a chord.

Analyze the position of the chord

The line segment \(\overline{BC}\) passes directly through the center point \(O\).
By definition, a chord that passes through the center of a circle is a diameter.

Determine the truth value

Since \(\overline{BC}\) is a chord passing through the center \(O\), the statement "The chord \(\overline{BC}\) is a diameter of \(\odot O\)" is true.

Answer:

• A. True (Correct answer)
• B. False