Question

if $uz = 44$ and $wx = 86$, what is $vy$?
$vy = \square$
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Explanation:

Step1: Identify midsegment theorem

In a trapezoid, the midsegment (or median) is the average of the lengths of the two parallel sides. Here, $WX$ and $UZ$ are the two parallel sides, and $VY$ is the midsegment.

Step2: Apply midsegment formula

The formula for the midsegment length is $VY = \frac{WX + UZ}{2}$
Substitute the given values: $WX=86$, $UZ=44$
$VY = \frac{86 + 44}{2}$

Step3: Calculate the sum first

$86 + 44 = 130$

Step4: Divide to find the result

$VY = \frac{130}{2} = 65$

Answer:

$65$