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question 4 of 10 given ⊙o below, the arcs ⌢wx and ⌢yz must be congruent.

Question

question 4 of 10 given ⊙o below, the arcs ⌢wx and ⌢yz must be congruent.

Explanation:

Step1: Recall arc - congruence rule

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

Step2: Analyze given central angles

Here, the central angle corresponding to arc $\overset{\frown}{WX}$ and the central angle corresponding to arc $\overset{\frown}{YZ}$ are both $27^{\circ}$, and they are in the same circle $\odot O$.

Answer:

A. True