In a parallelogram, opposite sides are congruent. Given that quadrilateral QRST is a parallelogram, we can determine which segment is congruent to segment SP.
Since segment SP is not directly part of the parallelogram, we want to identify which segment among the options given corresponds to congruency with SP.
To analyze this:
- The sides QR and ST are congruent (since they are opposite sides of the parallelogram).
- The sides QS and RT are also congruent for the same reason.
To answer your question:
If we set SP = QR (if SP were to represent a segment inside the parallelogram that corresponds directly to one of the sides), then:
- PR is not congruent (it's not a side).
- QP would be congruent to RS (if QR is considered).
- Similarly, PT would be another side not directly corresponding to SP.
- Since QR is congruent to ST and QS is congruent to RT, SP = QR.
Thus, the answer among the options is QP because it is congruent to the opposite side RS (if assuming SP corresponds contextually as a part of QR).
So the best congruent match to SP is QP.