Question

question 10 of 10 fill in the blank. given ⊙e below, you can conclude that (overline{cd}) is congruent to ________. a. ⊙e b. (overline{ab}) c. (overline{fb}) d. (overline{eg})

Explanation:

Step1: Recall circle - chord congruence theorem

In a circle, if two chords are equidistant from the center, then the chords are congruent. Here, the distance from the center \(E\) to chord \(\overline{AB}\) is \(EF = 3.4\) and the distance from the center \(E\) to chord \(\overline{CD}\) is \(EG=3.4\).

Step2: Determine congruent chords

Since the distances from the center of the circle \(\odot E\) to \(\overline{AB}\) and \(\overline{CD}\) are equal, \(\overline{CD}\cong\overline{AB}\) according to the theorem.

Answer:

B. \(\overline{AB}\)