Question

given ⊙o below, if ⁀xy and ⁀yz are congruent, what is the measure of chord (overline{xy})?

Explanation:

Step1: Recall circle - chord property

In a circle, if two arcs are congruent, then the corresponding chords are congruent.

Step2: Identify given congruent arcs

We are given that $\widehat{XY}$ and $\widehat{YZ}$ are congruent. So, the chords $XY$ and $YZ$ are congruent.

Step3: Determine length of chord $XY$

The length of chord $YZ$ is given as 10.2 units. Since $XY = YZ$, the length of chord $XY$ is also 10.2 units.

Answer:

A. 10.2 units