Question

question 10 of 25 which line segment is a chord of ⊙e in the diagram below? a. $overline{de}$ b. $overline{ab}$ c. $overline{cd}$ d. $overline{bc}$

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

• Option A: $\overline{DE}$ has one endpoint at the center $E$ of the circle, so it is a radius, not a chord.
• Option B: $\overline{AB}$ has no endpoints on the circle $\odot E$, so it is not a chord of $\odot E$.
• Option C: $\overline{CD}$ has both endpoints $C$ and $D$ on the circle $\odot E$, so it is a chord.
• Option D: $\overline{BC}$ has no endpoints on the circle $\odot E$, so it is not a chord of $\odot E$.

Answer:

C. $\overline{CD}$