Question

in parallelogram rstu, sw = 4 cm, wt = 6 cm, rs = 5 cm, and st = 7 cm. what is the length of line segment wu? 4 cm 5 cm 6 cm 7 cm

Explanation:

Step1: Recall parallelogram diagonal property

In a parallelogram, the diagonals bisect each other. So, \( SW = WU \) (since \( S \) and \( U \) are vertices, and \( W \) is the intersection of diagonals \( SU \) and \( RT \)).

Step2: Use given value of \( SW \)

We know \( SW = 4 \, \text{cm} \). By the property of parallelogram diagonals, \( WU = SW \).

Answer:

\( 4 \, \text{cm} \) (corresponding to the option "4 cm")