Question

question 4 of 10 fill in the blank. given ⊙o below, you can conclude that ⌢xz is congruent to a. (overline{ac}) b. ⊙o c. (overline{xy}) d. (overline{bc})

Explanation:

Step1: Recall congruent - chord property

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

Step2: Analyze the given circle

The distance from the center \(O\) to chord \(\overline{BC}\) and the distance from the center \(O\) to chord \(\overline{XY}\) are both \(22\). Since the distances of the two chords from the center of the circle \(\odot O\) are equal, the chords are congruent.

Answer:

D. \(\overline{BC}\)