Question

which line segment is a chord of ⊙c in the diagram below?

Explanation:

Step1: Recall chord definition

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

Step2: Analyze each option

• $\overline{AD}$: Point $D$ is outside the circle, so $\overline{AD}$ is not a chord.
• $\overline{AB}$: Both $A$ and $B$ lie on the circle $\odot C$, so $\overline{AB}$ is a chord.
• $\overline{CD}$: Point $D$ is outside the circle and $C$ is the center, so $\overline{CD}$ is not a chord.

Answer:

B. $\overline{AB}$