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question 1 of 10 given \\(\\odot o\\) below, if \\(\\overarc{ab}\\) and…

Question

question 1 of 10 given \\(\odot o\\) below, if \\(\overarc{ab}\\) and \\(\overarc{cd}\\) are congruent, what is the measure of chord \\(\overarc{cd}\\)? a. 2.5 units b. 5 units c. 4 units d. 3.5 units

Explanation:

Step1: Recall congruent arcs property

In a circle, congruent arcs correspond to congruent chords.

Step2: Match chord lengths

Given $\overarc{AB} \cong \overarc{CD}$, so chord $\overline{AB} = \overline{CD}$. The length of $\overline{AB}$ is 5 units.

Answer:

B. 5 units