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Angles PTQ and STR are vertical angles and congruent.
Circle T is shown. Line segments T P, T Q, T R, and T S are radii. Lines are drawn to connect the points on the circle and form secants P Q, Q R, R S, and S P. Angles P T Q and S T R are congruent.
Which chords are congruent?
QP and SR
QR and
PR and RS
PR and PS
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GPT-5 mini
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QP and SR.
Reason: ∠PTQ and ∠STR are equal central angles, so they subtend equal arcs PQ and SR; equal arcs intercept equal chords, so chord PQ = chord SR.
Reason: ∠PTQ and ∠STR are equal central angles, so they subtend equal arcs PQ and SR; equal arcs intercept equal chords, so chord PQ = chord SR.
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