Question

problems 1 - 3 here is a circle. point h is the circles center. 1. trace a segment that is a radius. 2. trace a segment that is a diameter. 3. trace a segment that is neither a radius nor a diameter

Explanation:

Step1: Recall the definition of radius

A radius is a segment from the center of the circle to a point on the circle. So, segments like \(HI\), \(HJ\), \(HK\), \(HL\), \(HM\) are radii.

Step2: Recall the definition of diameter

A diameter is a segment that passes through the center of the circle and has its endpoints on the circle. So, segments like \(KL\) (if \(K\) and \(L\) are on the circle and the segment passes through \(H\)) are diameters.

Step3: Recall the definition of a chord (non - radius and non - diameter)

A chord is a segment with both endpoints on the circle. A chord that is not a radius (not from the center) and not a diameter (does not pass through the center). So, segments like \(EF\) (assuming \(E\) and \(F\) are on the circle and the segment does not pass through \(H\)) are neither radii nor diameters.

Answer:

1. Any segment from \(H\) to a point on the circle (e.g., \(HI\)).
2. Any segment passing through \(H\) with endpoints on the circle (e.g., \(KL\)).
3. Any segment with endpoints on the circle that does not pass through \(H\) (e.g., \(EF\)).