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Question
question 6 of 10 given ⊙o below, if $widehat{ab}$ and $widehat{cd}$ are congruent, what is the measure of chord $overline{cd}$?
Step1: Recall congruent - chord property
In a circle, if two arcs are congruent, then the corresponding chords are congruent.
Step2: Identify given information
We are given that $\widehat{AB}$ and $\widehat{CD}$ are congruent, and the length of chord $AB = 5$ units.
Step3: Determine length of chord CD
Since the chords corresponding to congruent arcs are congruent, chord $CD$ has the same length as chord $AB$. So, $CD=5$ units.
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C. 5 units