Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 10 given ⊙o below, the arcs $overparen{gh}$ and $overpare…

Question

question 7 of 10 given ⊙o below, the arcs $overparen{gh}$ and $overparen{jk}$ must be congruent.
a. true
b. false

Explanation:

Step1: Recall arc - congruence rule

In a circle, two arcs are congruent if and only if their central - angles are congruent.

Step2: Check central - angles

The central - angle of arc $\widehat{GH}$ is $70^{\circ}$, and the central - angle of arc $\widehat{JK}$ is $125^{\circ}$. Since $70^{\circ}
eq125^{\circ}$, arcs $\widehat{GH}$ and $\widehat{JK}$ are not congruent.

Answer:

B. False