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it is given that quadrilateral qrst is a parallelogram. which segment o…

Question

it is given that quadrilateral qrst is a parallelogram. which segment of the figure must be congruent to segment sp?

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: Use the bisection property

Since the diagonals of a parallelogram bisect each other, we have \(QP = SP\) and \(RP=TP\).

Answer:

\(\overline{QP}\)