Question

question 3 of 10 fill in the blank. given ⊙o below, you can conclude that (overline{py}) is congruent to

Explanation:

Step1: Recall circle - chord property

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

Step2: Analyze given distances

The distance from the center $O$ to chord $\overline{PY}$ is $OA = 3$, and the distance from the center $O$ to chord $\overline{NL}$ is $OE=3$. Since the distances from the center of the circle $\odot O$ to $\overline{PY}$ and $\overline{NL}$ are equal, $\overline{PY}\cong\overline{NL}$.

Answer:

A. $\overline{NL}$