Question

given ⊙o below, if ⌢gh and ⌢hj are congruent, what is the measure of chord hj? a. 11.4 units b. 22.8 units c. 18.4 units d. 11.6 units

Explanation:

Step1: Recall circle - chord property

In a circle, if two arcs are congruent, then the corresponding chords are congruent. Since $\widehat{GH}$ and $\widehat{HJ}$ are congruent, chord $GH$ and chord $HJ$ are congruent.

Step2: Identify chord $GH$ length

From the figure, we can see that the length of chord $GH$ is $11.4$ units.

Answer:

A. 11.4 units