Question

which of the segments below is a diameter?
answer
\\( \overline { k n } \\)
\\( \overline { j i } \\)
\\( \overline { d n } \\)
\\( \overline { o d } \\)

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

• $\overline{KN}$: It does not pass through the center of the circle with center $P$, so it is not a diameter.
• $\overline{DN}$: It does not pass through the center of either circle, so it is not a diameter.
• $\overline{JI}$: It passes through the center $O$ of the left - hand circle and has its endpoints $J$ and $I$ on the circle.
• $\overline{OD}$: It is a radius (a line segment from the center of a circle to a point on the circle), not a diameter.

Answer:

$\overline{JI}$