Question

converse parallelogram proofs quick check
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)
$overline{pr}$
$overline{qp}$
$overline{pt}$
$overline{qs}$

Explanation:

Step1: Recall parallelogram property

In a parallelogram, the diagonals bisect each other. In parallelogram $QRST$, the diagonals $QS$ and $RT$ intersect at point $P$.

Step2: Apply bisection property

Since the diagonals bisect each other, we have $SP = PT$.

Answer:

C. $\overline{PT}$