# Which minor arcs are congruent? explain your answer.

Answers: 1

## Answers

Which minor arcs are congruent? explain your answer....

Answers: 1

Which minor arcs are congruent? explain your answer....

answer:

see attachment

step-by-step explanation:

1.) ∠JSO and ∠NSI are congruent; ∠OSI and ∠JSN are congruent

Proof: The two pairs of angles are vertical angles. Vertical angles are congruent.

2.) Segments OJ and IN are congruent because the central angles that intercepted them. respectively are congruent. Segments JN and OI are also congruent on the same grounds.

Proof: The degree measure of central angles and the arcs intercepted are congruent. Since∠JSO ≅ ∠NSI and ∠JSN ≅ OSI∠, then the arcs intercepted by the pairs of vertical angles, respectively, are also congruent.

3.) Minor arcs JO and NI and minor arcs OI and JN are congruent.

Proof: See explanation in Question#2.

4.) Arcs JOI, OIN, INJ, and NJO are semi-circles.