Question

y and v are the midpoints of the legs, $overline{xz}$ and $overline{uw}$, of trapezoid uwxz.
if $uz = 2$ and $wx = 4$, what is $vy$
$vy = \square$

Explanation:

Step1: Recall trapezoid midsegment rule

The midsegment (or median) of a trapezoid is equal to the average of the lengths of the two bases.

Step2: Substitute given base lengths

The bases are $UZ = 2$ and $WX = 4$. Calculate the average:
$\frac{UZ + WX}{2} = \frac{2 + 4}{2}$

Step3: Compute the result

$\frac{6}{2} = 3$

Answer:

3