Question

question 1 of 10
which of the following segments is a diameter of
a.
b.
c.
d.

Explanation:

Step1: Recall the definition of a diameter

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: \(\overline{DE}\) does not pass through the center \(O\), so it is not a diameter.
• Option B: \(\overline{OD}\) has one - endpoint at the center \(O\) but the other endpoint \(D\) is on the circle. It is a radius, not a diameter.
• Option C: \(\overline{DF}\) passes through the center \(O\) and has endpoints \(D\) and \(F\) on the circle. So it is a diameter.
• Option D: \(\overline{OE}\) has one - endpoint at the center \(O\) but the other endpoint \(E\) is on the circle. It is a radius, not a diameter.

Answer:

C. \(\overline{DF}\)