Question

if quadrilateral wxyz is a parallelogram, which segment of the figure must be congruent to segment \\( \overline { z v } \\) ?
(1 point)
\\( \overline { x v } \\)
\\( \overline { z x } \\)
\\( \overline { w z } \\)
\\( \overline { w y } \\)

Explanation:

Step1: Recall the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. For parallelogram \(WXYZ\), diagonals \(WY\) and \(XZ\) intersect at point \(V\).

Step2: Apply the bisection property

Since the diagonals bisect each other, \(ZV = XV\).

Answer:

\(\overline{XV}\)