Question

question 5 of 10 given \\( \odot o \\) below, the arcs \\( \overarc{wx} \\) and \\( \overarc{yz} \\) must be congruent. \\( \bigcirc \\) a. true \\( \bigcirc \\) b. false

Explanation:

Step1: Recall arc congruence rule

In a circle, two arcs are congruent if their corresponding central angles are congruent and they are arcs of the same circle (or congruent circles).

Step2: Compare central angles

The central angle for $\widehat{WX}$ is $\angle WOX = 27^\circ$, and the central angle for $\widehat{YZ}$ is $\angle YOZ = 27^\circ$. Both arcs are on $\odot O$, so they satisfy the conditions for congruence.

Answer:

A. True