Question

question 2 of 10 fill in the blank. given ⊙v below, you can conclude that (overline{qs}) is congruent to _. a. (overline{vu}) b. (overline{nt}) c. (overline{nr}) d. ⊙v

Explanation:

Step1: Recall circle - chord congruence property

In a circle, if two chords are equidistant from the center of the circle, then the chords are congruent. Here, the distance from the center \(V\) to chord \(\overline{NR}\) (distance \(VT\)) and the distance from the center \(V\) to chord \(\overline{QS}\) (distance \(VU\)) are equal (\(VT = VU=6.7\)).

Step2: Identify congruent chord

Since the distances from the center of the circle \(\odot V\) to \(\overline{NR}\) and \(\overline{QS}\) are equal, \(\overline{QS}\cong\overline{NR}\).

Answer:

C. \(\overline{NR}\)