Question

which of the rays or segments below is a chord of circle o? answer (overline{ik}) (overline{io}) (overrightarrow{da}) (overrightarrow{dk})

Explanation:

Step1: Recall the definition of a chord

A chord of a circle is a straight - line segment whose endpoints both lie on the circle.

Step2: Analyze each option

• For \(\overline{IK}\): The endpoints \(I\) and \(K\) both lie on the circle \(O\).
• For \(\overline{IO}\): The point \(O\) is the center of the circle, not on the circle. So \(\overline{IO}\) is a radius (if \(I\) is on the circle and \(O\) is the center), not a chord.
• For \(\overrightarrow{DA}\): A ray has one endpoint and extends infinitely in one direction. Since it is a ray, not a segment with both endpoints on the circle, it is not a chord.
• For \(\overrightarrow{DK}\): A ray has one endpoint (\(D\) is not on the circle) and extends infinitely in one direction. So it is not a chord.

Answer:

\(\overline{IK}\)