Question

directions: if each quadrilateral below is a rectan
1.
vw =
wx =
yw =
zx =
vx =

Explanation:

Step1: Identify rectangle side properties

In a rectangle, opposite sides are equal. So $VW = YX = 31$, $WX = VY = 19$.

Step2: Calculate diagonal length

Use Pythagorean theorem for diagonal $VX$ (or $YW$):
$$VX = \sqrt{VY^2 + YX^2} = \sqrt{19^2 + 31^2}$$
$$=\sqrt{361 + 961} = \sqrt{1322} \approx 36.36$$

Step3: Use rectangle diagonal property

In a rectangle, diagonals are equal and bisect each other. So $YW = VX \approx 36.36$, and $ZX = \frac{VX}{2} = \frac{\sqrt{1322}}{2} \approx 18.18$.

Answer:

$VW = 31$
$WX = 19$
$YW = \sqrt{1322} \approx 36.36$
$ZX = \frac{\sqrt{1322}}{2} \approx 18.18$
$VX = \sqrt{1322} \approx 36.36$