Question

20: which segment in the circle below is a diameter? a. \overline{sq} b. \overline{ms} c. \overline{sr} d. \overline{mr}

Explanation:

Step1: Recall the definition of a diameter

A diameter of a circle is a straight line segment that passes through the center of the circle and has its endpoints on the circle.

Step2: Analyze each option

• Option A: \(\overline{SQ}\) does not pass through the center \(M\) of the circle.
• Option B: \(\overline{MS}\) is a radius (a segment from the center to a point on the circle), not a diameter.
• Option C: \(\overline{SR}\) passes through the center \(M\) and has endpoints \(S\) and \(R\) on the circle.
• Option D: \(\overline{MR}\) is a radius (a segment from the center to a point on the circle), not a diameter.

Answer:

C. \(\overline{SR}\)