Question

given ⊙o below, if \\(\overline{ab}\\) and \\(\overline{bc}\\) are congruent, what is the measure of chord \\(\overline{bc}\\)? \\(\bigcirc\\) a. 12.5 units \\(\bigcirc\\) b. 10 units \\(\bigcirc\\) c. 13.5 units \\(\bigcirc\\) d. 11 units

Explanation:

Step1: Recall congruent chords property

In a circle, congruent chords have equal lengths.

Step2: Use given congruence info

Given $\overline{AB} \cong \overline{BC}$, and $AB = 12.5$ units. So $BC = AB$.

Answer:

A. 12.5 units