Question

$\overline{oc}$ and $\overline{ox}$ are perpendicular to chords $\overline{ab}$ and $\overline{yz}$, respectively. if $\overline{ox}$ is congruent to $\overline{oc}$, and the length of $\overline{ab}$ is 15 millimeters, what is the length of $\overline{yz}$? answer attempt 1 out of 2 $yz = \square$ millimeters

Explanation:

Step1: Recall circle chord theorem

In a circle, if two perpendicular segments from the center to chords are congruent, the chords are congruent.

Step2: Apply theorem to given values

Given $\overline{OX} \cong \overline{OC}$, so $\overline{AB} \cong \overline{YZ}$. Since $AB = 15$ mm, $YZ = AB$.

Answer:

15 millimeters