Question

angles ptq and str are vertical angles and congruent. which chords are congruent? $overline{pr}$ and $overline{ps}$ $overline{qp}$ and $overline{sr}$ $overline{pr}$ and $overline{rs}$ $overline{qr}$ and $overline{pq}$

Explanation:

Step1: Recall circle - chord congruence theorem

In a circle, if two central - angles (or vertical angles formed by intersecting chords) are congruent, the chords that subtend those angles are congruent. Since angles PTQ and STR are vertical angles and congruent, the chords that subtend these angles are congruent. Chord QP subtends angle PTQ and chord SR subtends angle STR.

Answer:

QP and SR