Question

question 3 of 10 given ⊙o below, the arcs wx and yz must be congruent. a. true b. false

Explanation:

Step1: Recall arc - congruence rule

In a circle, two arcs are congruent if and only if their central angles are congruent.

Step2: Identify central angles

The central angle of arc $\overset{\frown}{WX}$ is $80^{\circ}$, and the central angle of arc $\overset{\frown}{YZ}$ is $35^{\circ}$.

Step3: Compare central angles

Since $80^{\circ}
eq35^{\circ}$, arcs $\overset{\frown}{WX}$ and $\overset{\frown}{YZ}$ are not congruent.

Answer:

B. False