Question

given that the quadrilateral wxyz is a parallelogram,
\\( \overline { w t } = 18 \mathrm { cm } \\) and \\( \overline { x t } = 13 \mathrm { cm } \\), what is \\( \overline { x z } \\)?
\\( \overline { x z } = \\)
______ cm

Explanation:

Step1: Recall the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, if \(WXYZ\) is a parallelogram, then \(XT = TZ\).

Step2: Calculate the length of \(XZ\)

Since \(XT = 13\) cm and \(XZ=XT + TZ\), and \(XT = TZ\) (diagonals bisect each other in a parallelogram), then \(XZ = 2\times XT\).
Substitute \(XT = 13\) cm into the formula: \(XZ=2\times13\).

Answer:

\(26\)