Question

select all the segments that are a radius of the circle. a) segment ac b) segment cd c) segment ad d) segment ag

Explanation:

Step1: Recall the definition of radius

A radius is a line segment from the center of a circle to any point on the circle.

Step2: Analyze each option

• Option A: Segment \(AC\) - \(A\) is the center and \(C\) is on the circle. So \(AC\) is a radius.
• Option B: Segment \(CD\) - This is a chord (a line segment with both endpoints on the circle) but not a radius as it does not connect the center \(A\) to a point on the circle.
• Option C: Segment \(AD\) - \(A\) is the center and \(D\) is on the circle. So \(AD\) is a radius.
• Option D: Segment \(AG\) - \(A\) is the center and \(G\) is on the circle. So \(AG\) is a radius.

Answer:

A. segment \(AC\), C. segment \(AD\), D. segment \(AG\)