Question

use the following information to give the most precise classification for quadrilateral wzrd. click here
slope of \\( \overline{wz}=0 \\) length of \\( \overline{wz}=5 \\)
slope of \\( \overline{zr}=-\frac{4}{3} \\) length of \\( \overline{zr}=5 \\)
slope of \\( \overline{rd}=0 \\) length of \\( \overline{rd}=5 \\)
slope of \\( \overline{wd}=-\frac{4}{3} \\) length of \\( \overline{wd}=5 \\)
(1 point)
rectangle
parallelogram
rhombus
trapezoid

Explanation:

Step1: Check for parallel sides

Slope of \(\overline{WZ}=0\) and slope of \(\overline{RD} = 0\). Since slopes are equal, \(\overline{WZ}\parallel\overline{RD}\).
Slope of \(\overline{ZR}=-\frac{4}{3}\) and slope of \(\overline{WD}=-\frac{4}{3}\). Since slopes are equal, \(\overline{ZR}\parallel\overline{WD}\). So it is a parallelogram.

Step2: Check side lengths

Length of \(\overline{WZ} = 5\), length of \(\overline{ZR}=5\), length of \(\overline{RD}=5\), length of \(\overline{WD}=5\). All sides are equal.

Answer:

Rhombus