Question

question 8 of 10
fill in the blank. given \\( \odot o \\) below, you can conclude that \\( \overline{oh} \\) is congruent to
\\( \underline{quadquad} \\).

\\( \bigcirc \\) a. \\( \overline{tg} \\)
\\( \bigcirc \\) b. \\( \overline{le} \\)
\\( \bigcirc \\) c. \\( \odot o \\)
\\( \bigcirc \\) d. \\( \overline{oe} \\)

Explanation:

Step1: Recall circle chord theorem

In a circle, the distances from the center to two congruent chords are equal.

Step2: Identify congruent chords

Chord $\overline{TG}$ and $\overline{LI}$ both have length 10.4, so $\overline{TG} \cong \overline{LI}$.

Step3: Match distance segments

$\overline{OH}$ is the distance from center $O$ to $\overline{TG}$, and $\overline{OE}$ is the distance from center $O$ to $\overline{LI}$. Thus $\overline{OH} \cong \overline{OE}$.

Answer:

D. $\overline{OE}$