Question

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

Explanation:

Step1: Recall circle - chord property

In a circle, if two arcs are congruent, then the corresponding chords are congruent.

Step2: Identify congruent arcs

Given that $\widehat{AB}$ and $\widehat{BC}$ are congruent.

Step3: Find length of chord

The length of chord $AB$ is 12.5 units. Since $\widehat{AB}\cong\widehat{BC}$, then chord $BC$ has the same length as chord $AB$. So, the length of chord $BC$ is 12.5 units.

Answer:

A. 12.5 units