Question

circle a is congruent to circle j. chords bc, cp, eg, kl, lo, and mp are congruent. which arcs are congruent? choose three correct answers.

Explanation:

Step1: Recall arc - chord relationship

In congruent circles, congruent chords subtend congruent arcs.

Step2: Identify congruent chords

Given chords $\overline{BC},\overline{CP},\overline{EG},\overline{KL},\overline{LO},\overline{MP}$ are congruent.

Step3: Match arcs with chords

The arcs subtended by these congruent chords are congruent. $\overset{\frown}{BC},\overset{\frown}{CP},\overset{\frown}{EG},\overset{\frown}{KL},\overset{\frown}{LO},\overset{\frown}{MP}$ are the relevant arcs.

Answer:

A. $\overset{\frown}{EG}\cong\overset{\frown}{KL}$
B. $\overset{\frown}{BC}\cong\overset{\frown}{MP}$
C. $\overset{\frown}{LO}\cong\overset{\frown}{MP}$