Question
Use the image to answer the question.
It is given that quadrilateral QRST is a parallelogram. Which segment of the figure must be congruent to segment SP¯¯¯¯¯¯¯?
(1 point)
Responses
PT¯¯¯¯¯¯¯
upper P upper T
QS¯¯¯¯¯¯¯
upper Q upper S
PR¯¯¯¯¯¯¯¯
upper P upper R
QP¯¯¯¯¯¯¯¯
It is given that quadrilateral QRST is a parallelogram. Which segment of the figure must be congruent to segment SP¯¯¯¯¯¯¯?
(1 point)
Responses
PT¯¯¯¯¯¯¯
upper P upper T
QS¯¯¯¯¯¯¯
upper Q upper S
PR¯¯¯¯¯¯¯¯
upper P upper R
QP¯¯¯¯¯¯¯¯
Answers
GPT-4o mini
In a parallelogram, opposite sides are congruent. Given that quadrilateral QRST is a parallelogram, we know that opposite sides QR and ST are congruent, as well as QR and ST.
Therefore, segment SP must be congruent to segment QT, as both are diagonal segments connecting opposite corners.
Among the options provided, the segment that must be congruent to segment \( SP \) is segment \( QT \).
Thus, the correct answer is:
**QT̅̅̅̅̅**
Therefore, segment SP must be congruent to segment QT, as both are diagonal segments connecting opposite corners.
Among the options provided, the segment that must be congruent to segment \( SP \) is segment \( QT \).
Thus, the correct answer is:
**QT̅̅̅̅̅**