Asked by Havon
Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.
Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are congruent.
Which arcs are congruent? Check all that apply.
Arc B C ≅ Arc M P
Arc B C ≅ Arc M O
Arc C F ≅ Arc K P
Arc E G ≅ Arc K L
Arc L O ≅ Arc M P
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices:
- Arc BC ≅ Arc MP
- Arc EG ≅ Arc KL
- Arc LO ≅ Arc MP
Reason: All the listed chords (BC, CF, EG, KL, LO, MP) are congruent. Congruent chords in congruent circles subtend congruent arcs, so arcs corresponding to any two of those chords are congruent. Pairs involving chords not in that list (e.g. MO or KP) are not guaranteed congruent.
- Arc BC ≅ Arc MP
- Arc EG ≅ Arc KL
- Arc LO ≅ Arc MP
Reason: All the listed chords (BC, CF, EG, KL, LO, MP) are congruent. Congruent chords in congruent circles subtend congruent arcs, so arcs corresponding to any two of those chords are congruent. Pairs involving chords not in that list (e.g. MO or KP) are not guaranteed congruent.
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