The arcs AB and CD are congruent if their central angles are congruent.

Check the final answer first, then review the worked steps.

Problem

The arcs AB and CD are congruent if their central angles are congruent.

Step-by-step solution

The measure of an arc is equal to the measure of its central angle. Both arcs \overarc{AB} and \overarc{CD} have central angles measuring $30^\circ$, so the arcs are congruent.

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Answer

True