Question

fill in the blank. given ⊙e below, you can conclude that (overarc{cd}) is congruent to ______. a. (overline{fb}) b. ⊙e c. (overline{ab}) d. (overline{eg})

Explanation:

Step1: Recall circle chord theorem

In a circle, if two chords are equidistant from the center, the chords are congruent.

Step2: Verify distance condition

Chord $\overline{AB}$ and $\overline{CD}$ are both 3.4 units from center $E$, and $EF \perp \overline{AB}$, $EG \perp \overline{CD}$.

Step3: Match to congruent chord

By the theorem, $\overline{CD} \cong \overline{AB}$.

Answer:

C. $\overline{AB}$