If arcs PAQ and RBS of a circle are congruent, then find the ratio of PQ and RS.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1 : 1.
Congruent Arcs: In a circle, congruent arcs have the same length.
Finding the Ratio:
Equal Arcs, Equal Chords: If arcs PAQ and RBS are congruent, their corresponding chords PQ and RS are also congruent.
Ratio of Congruent Chords: Since PQ and RS are congruent, their ratio is 1:1.
Therefore, the ratio of PQ to RS is 1:1.