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question 5 of 10 given ⊙o below, the arcs $widehat{ab}$ and $widehat{cd…

Question

question 5 of 10 given ⊙o below, the arcs $widehat{ab}$ and $widehat{cd}$ must be congruent. a. true b. false

Explanation:

Step1: Recall arc - congruence rule

In a circle, if central angles are equal, then the arcs they intercept are congruent.

Step2: Identify central angles

The central angles $\angle AOB$ and $\angle COD$ are both $30^{\circ}$.

Step3: Determine arc congruence

Since $\angle AOB=\angle COD = 30^{\circ}$, arcs $\widehat{AB}$ and $\widehat{CD}$ are congruent.

Answer:

A. True