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 (overline{sp})?
(1 point)
(overline{pt})
(overline{qs})
(overline{pr})
(overline{qp})

Explanation:

Step1: Recall the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. For parallelogram \(QRST\) with diagonals \(QS\) and \(RT\) intersecting at point \(P\).

Step2: Apply the property

By the property that diagonals of a parallelogram bisect each other, we have \(SP = PR\) and \(QP=PT\). So the segment congruent to \(\overline{SP}\) is \(\overline{PR}\).

Answer:

C. \(\overline{PR}\)