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question 6 of 10 given ⊙o below, if $widehat{ab}$ and $widehat{cd}$ are…

Question

question 6 of 10 given ⊙o below, if $widehat{ab}$ and $widehat{cd}$ are congruent, what is the measure of chord $overline{cd}$?

Explanation:

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.

Answer:

C. 5 units